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compound inequalities notes pdf

Later, they learn about compo, Guided learning and practice to help students understand how to solve and graph compound inequalities. Title: 8.3_Compound_Inequalities.jnt Author: awarnock Created Date: 1/24/2012 10:18:56 AM Each set of notes is sold separately in my TPT Store, and you can see preview files for each chapter. These are not axioms. q�&�A��/�Kr�M�E�6K@����e 0i��.Vޠ��ɳ��v�&e�SI��ͪ������8N�=�����Gry�M��6���=���;(S.8�v���B���. Unions When an inequality is combined by the word “or” the compound inequality is formed. stream stream Theorem 1. S, Looking for a fun or new way to deliver notes? PDF (2.21 MB) Writing, Solving and Graphing Compound Inequalities Student Notes & Practice to complement the introduction to Solving and Graphinng Compound Inequalities. In this resource, you will find 3 pages of notes and 1 page of practice problems that can be used for homework or as a quiz.There is 1 page on "and" and 1 page on "or" compound inequalities, 1 full page of practice problems on defining a var, This product includes two pages that may be completed interactively between the teacher and the class (note-taking) to introduce compound (absolute value) inequalities. endobj There are over 195 guided note activities that contain sample teacher answer keys. stream Example 2 -1 ≤ ⅕ (3-x) < 2 Graph: 5 5 5 E 3 X Ll O 3 3 3 77 I F 7 x s g Changethe directionof the ineg its solution C 7 8. x��\Y�$G�y�F��*�)�>@B�l����������=�O|yTFVg���@`!�tWe������~y��S�}y{��O���۳�g��F+��xx�����. endobj So the solution will be x >3 or x <−3. stream 4 0 obj Solving Inequalities with Multiplication and Division These notes include: 11 0 obj Focused notes help students to take clear and effective notes during math lessons, can be used for introducing new topics or for review, and can be used with any curriculum. <>/ExtGState<>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 6 0 R/Group<>/Tabs/S>> Properties of Inequality Handout Subtraction Property : If x < y , then x - z < y - z Example : Mark has fourteen dollars and Dan has sixteen dollars. Subjects: Math, Algebra, Algebra 2. Algebra Guided Presentation Notes: Unit 3 - Solving Inequalities . ��(�=J����aY��`0��y�'D2��n��ᐵ�F��Z���xM��������3L �s8>~�%# f�Y��4M�t�j��&��rr����7t��r�����g�x|�� ڈ"�\��7��O{�}~��S0�%֓L9x��ޥ"�C���_C���0�E��t�FA�Մx. 4�.0,` �3p� ��H�.Hi@�A>� x��}�m�qdQ�8(ˋ,�Rr�ь��}I��� A�H �f>M,��T���>�uW�����y��@" ���:�U�U���}�_��ه��xxu������� =>�����?�|}���G,~xu�O_����|�wN��S����TS:���n���w��[������TW��߼�gK�����s 1��o��Cϩ��o?��x��ޥTo�M[�����?�n����t���|�G�o�%���ξ�-6<{��S�w�ܛb.�D=�^ή�v��,hiJ��w���0��:��\n�ww Fʏ�3+ϟ��s��wK)�r����Ym��s�9����j�v�ùb��-C���ٝ��'�-��o�_���l%YfD;��C+�)��8�����&�pn��}�?�h,���ߞ#�&�/��w�o��ݓ�]T�rt����;x�0�̳ga=�^s��v�=�y���]���A�-������AȒA�I6ѣ/�?�I�@�� �%��n�MJ�y�}�Wj�R����_��twX]���_3.U`˸�Q�sL�Y�xX��v�8)�"L�Q�Wn�:��&Ƕ�����s��`X6��T�.f��՜���G�|t��}�5���oc����n���ʫ���ѓ�_���yW�Gk �.LH��}N�^�Ѣ�&LH}�4ګ�j1)�H�@f�6��� C9o;��]��rC�>������zNn��o`� �z�9�S���X� ���/�r�8�_�Ĕk��.��5�B}l�E7������L��.��b�n]s�Ӭ�8���6:�>�A%CG߄�@>��@_�$����h�A�E�K#��)�m!��c��xl�1����_��Զ��y HC��p���jZB�Ѡ 7��к� i��p��!�� �}X�4�?��\�.|�����s;��f|/��@�ɇD���[�]q�ܔ�{��� Writing, Solving and Graphing Compound Inequalities Student Notes & Practice to complement the introduction to Solving and Graphinng Compound Inequalities. Ⱦ�h���s�2z���\�n�LA"S���dr%�,�߄l��t� Compound Inequalities. They first learn that x>7 and x<11 can be written as 7 or > above the line, < or < below the line Example 1: y ≥ x - 5 Example 2: y > x - 2 A1�v�jp ԁz�N�6p\W� p�G@ Inequalities - Compound Inequalities Objective: Solve, graph and give interval notation to the solution of compound inequalities. ��.3\����r���Ϯ�_�Yq*���©�L��_�w�ד������+��]�e�������D��]�cI�II�OA��u�_�䩔���)3�ѩ�i�����B%a��+]3='�/�4�0C��i��U�@ёL(sYf����L�H�$�%�Y�j��gGe��Q�����n�����~5f5wug�v����5�k��֮\۹Nw]������m mH���Fˍe�n���Q�Q��`h����B�BQ�-�[l�ll��f��jۗ"^��b���O%ܒ��Y}W�����������w�vw����X�bY^�Ю�]�����W�Va[q`i�d��2���J�jGէ������{�����׿�m���>���Pk�Am�a�����꺿g_D�H��G�G��u�;��7�7�6�Ʊ�q�o���C{��P3���8!9������-?��|������gKϑ���9�w~�Bƅ��:Wt>���ҝ����ˁ��^�r�۽��U��g�9];}�}��������_�~i��m��p���㭎�}��]�/���}������.�{�^�=�}����^?�z8�h�c��' Check your solution \ Example 3: Write an inequality for the sentence and then solve the inequality. << /Length 14 0 R /N 3 /Alternate /DeviceRGB /Filter /FlateDecode >> The second page walks students through first solving and graphing and inequalities. Students will learn what to do to solve compound inequalities and will follow the steps given to solve example problems. Graph compound inequalities. . endobj The first page introduces students to compound inequalities. ?\A���)�405`���2:1��*����rj���� G �s��c�USӓ&P-(�~�=�d�ʫ�!���c�X1�W����:n�|�bl�¶�m.DMOg�jR�͓\��a!b�ͪR&�.p��1�v� r��M stream Sections include:-Graphs if, Looking for simple, clean, NO PREP guided Algebra 1 notes? Ⱦ�h���s�2z���\�n�LA"S���dr%�,�߄l��t� Inequalities involving x2 rather than x can still be solved. The 'less than' inequality is presented on one page and the greater than inequality is presented on the other page. The Independent Practice is made up of both types of compound inequalities. Compound Inequalities Page 1 of 2 Compound inequality – a compound inequality consists of two separate inequalities joined by “and” or “or”. Variables, Guided/scaffolded notes and interactive/foldable activities are perfect for Algebra 2 or Integrated Math students. stream ★ Includes ★Warm UpGuided, Fill in the Blank NotesLeveled (Scaffolded) PracticeHomeworkAnswer Keys Thank you so much for viewing this product, and I, Solving Compound Inequalities: Guided Notes and Practice. ߏƿ'� Zk�!� $l$T����4Q��Ot"�y�\b)���A�I&N�I�$R$)���TIj"]&=&�!��:dGrY@^O�$� _%�?P�(&OJEB�N9J�@y@yC�R �n�X����ZO�D}J}/G�3���ɭ���k��{%O�חw�_.�'_!J����Q�@�S���V�F��=�IE���b�b�b�b��5�Q%�����O�@��%�!BӥyҸ�M�:�e�0G7��ӓ����� e%e[�(����R�0`�3R��������4�����6�i^��)��*n*|�"�f����LUo�՝�m�O�0j&jaj�j��.��ϧ�w�ϝ_4����갺�z��j���=���U�4�5�n�ɚ��4ǴhZ�Z�Z�^0����Tf%��9�����-�>�ݫ=�c��Xg�N��]�. 1. 15 0 obj Student Notes work well as guided instruction with the teacher providing examples of what a compound inequality looks like as an inequality. There are three types of compound inequalities which we … Blackline master and color-coded answer key included. Independent Practice. Example #1 Graph x < 2 or x ≥4 a. Here are 22 pages of interactive guided notes to lead your students to proficiency on understanding and solving inequalities in one variable, and representing solutions on, This is a bundle of Algebra 1 Guided Reference NO PREP notes for the first half of the school year! endobj 7 0 obj This … Compound Inequality (con’t)• AND means the solution must work in BOTH inequalities• Example: x > 3 AND x < 8 • 5 is a solution because 5 > 3 AND 5 <8 • 2 is not a solution because although 2 < 8, 2 > 3 is not true.• AND is the intersection (∩) of the inequalities. E�6��S��2����)2�12� ��"�įl���+�ɘ�&�Y��4���Pޚ%ᣌ�\�%�g�|e�TI� ��(����L 0�_��&�l�2E�� ��9�r��9h� x�g��Ib�טi���f��S�b1+��M�xL����0��o�E%Ym�h�����Y��h����~S�=�z�U�&�ϞA��Y�l�/� �$Z����U �m@��O� � �ޜ��l^���'���ls�k.+�7���oʿ�9�����V;�?�#I3eE妧�KD����d�����9i���,�����UQ� ��h��6'~�khu_ }�9P�I�o= C#$n?z}�[1 18 0 obj 2. Compound Inequalities: Guided Notes & 28 Task Cards! This preview shows page 1 - 2 out of 2 pages. O*��?�����f�����`ϳ�g���C/����O�ϩ�+F�F�G�Gό���z����ˌ��ㅿ)����ѫ�~w��gb���k��?Jި�9���m�d���wi獵�ޫ�?�����c�Ǒ��O�O���?w| ��x&mf������ Section 6-3: Solving Multi-Step Inequalities Notes Example 1: Solve C + 32 > -31. << /Type /ExtGState /ca 1 >> endobj Inequalities joined by the word and are called conjunctions. You can hang them up as you cover the topics on a bulletin board, or you can keep them up al, This is an interactive page on compound inequalities. E�6��S��2����)2�12� ��"�įl���+�ɘ�&�Y��4���Pޚ%ᣌ�\�%�g�|e�TI� ��(����L 0�_��&�l�2E�� ��9�r��9h� x�g��Ib�טi���f��S�b1+��M�xL����0��o�E%Ym�h�����Y��h����~S�=�z�U�&�ϞA��Y�l�/� �$Z����U �m@��O� � �ޜ��l^���'���ls�k.+�7���oʿ�9�����V;�?�#I3eE妧�KD����d�����9i���,�����UQ� ��h��6'~�khu_ }�9P�I�o= C#$n?z}�[1 The symbol ‘≥’ is defined similarly. x��wTS��Ͻ7��" %�z �;HQ�I�P��&vDF)VdT�G�"cE��b� �P��QDE�݌k �5�ޚ��Y�����g�}׺ P���tX�4�X���\���X��ffG�D���=���HƳ��.�d��,�P&s���"7C$ 12 0 obj *, Hello Algebrats!⭐ If you liked this product, check out my entire Equations and Inequalities Unit. Students are given a compound inequality and are, This lesson is meant to be used as guided notes for a whole class. endobj Let a, b, c, and d be real numbers. <> * The lesson covers instruction on how to write compound inequalities involving AND in two different ways. There are many rules for studying inequalities which are derivable from the axioms. endstream << /Length 5 0 R /Filter /FlateDecode >> 3. 5 0 obj ��K0ށi���A����B�ZyCAP8�C���@��&�*���CP=�#t�]���� 4�}���a � ��ٰ;G���Dx����J�>���� ,�_“@��FX�DB�X$!k�"��E�����H�q���a���Y��bVa�bJ0՘c�VL�6f3����bձ�X'�?v 6��-�V`�`[����a�;���p~�\2n5��׌���� �&�x�*���s�b|!� compound statement. 14 0 obj These guides encourage creativity while delivering new concepts. Solving Multi-Step, This is a guided, color-coded notebook page for the interactive math notebook on solving compound inequalities. endobj When two simple inequalities are combined into one statement by the words AND or OR, the result is called a compound inequality. >> [7A�\�SwBOK/X/_�Q�>Q�����G�[��� �`�A�������a�a��c#����*�Z�;�8c�q��>�[&���I�I��MS���T`�ϴ�k�h&4�5�Ǣ��YY�F֠9�=�X���_,�,S-�,Y)YXm�����Ěk]c}džj�c�Φ�浭�-�v��};�]���N����"�&�1=�x����tv(��}�������'{'��I�ߝY�)� Σ��-r�q�r�.d.�_xp��Uە�Z���M׍�v�m���=����+K�G�ǔ����^���W�W����b�j�>:>�>�>�v��}/�a��v���������O8� � %PDF-1.4 Mark still has less money than Dan. 13 0 obj They are meant to replace repetitive note taking. endobj << /Length 16 0 R /N 3 /Alternate /DeviceRGB /Filter /FlateDecode >> [ /ICCBased 13 0 R ] f ���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� � �� �[ bjbjcTcT 0l > > r U 6 �� �� �� � � � ���� 8 U d � � ̞ t = O O O O Z> Z> Z> � � � � � � � @� � � d � � Z> L9 Z> Z> Z> � O O � �� hB hB hB Z> � p O O � hB Z> � hB hB 7� � y � � O ���� P��H�� 6? Check your solution. 9 0 obj ��ࡱ� > �� @ B ���� ? In this unit inequalities are solved by using algebra and by using graphs. ?��k�����F��.�����0u��� ��K0ށi���A����B�ZyCAP8�C���@��&�*���CP=�#t�]���� 4�}���a � ��ٰ;G���Dx����J�>���� ,�_“@��FX�DB�X$!k�"��E�����H�q���a���Y��bVa�bJ0՘c�VL�6f3����bձ�X'�?v 6��-�V`�`[����a�;���p~�\2n5��׌���� �&�x�*���s�b|!� Then they learn how to solve and graph these. ��t“b �e��3��Ӑ(��~G��hc��f����)���E�F���~�:�6�U{�L��I��A$��E8e,�sx�t���bɟ_��s�� ���޲�~'׷q}�]!���;} ���� �4��b~�4��Uq����7U%�����;�z��yT4�]Ӊ=��j�jr^�y�nߒ���� @�+��(!A�&�i ��f5�L���LMCo�g m&����TW��+p��4:ܦ@Ւ��Ic� {�Y�V�k�_��rȲ��^�'��M��s_,i���I(G�����Ŕ5. It provides the students with more practice to distinguish between "and", and "or".

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