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Problems present example ranges (e.g., X ≤ 130) and then ask students to interpret and mark the correct set of values for each inequality symbol such as > or \u003C and ≤. Several items require selecting points on the number line for constraints like X > -120, X \u003C 87, X > 66, X > 43, X \u003C 19, X \u003C -13, and other comparable inequalities.","Use the numberline to express the inequality.  \nEx) 60 70 80 90 100 110 120 130 140 150 160 170 180  \nX ≤ 130               \n1) -145 -140 -135 -130 -125 -120 -115 -110 -105 -100 -95 X > -120   \n2) 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 X \u003C 87   \n3) 60 61 62 63 64 65 66 67 68 69 70 71 72 73 X > 66   \n4) 37 38 39 40 41 42 43 44 45 46 47 48 49 X > 43   \n5) 13 14 15 16 17 18 19 20 21 22 23 24 25 X \u003C 19   \n6) -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 X \u003C -13   \n7) 70 71 72 73 74 75 76 77 78 79 80 81 82 X > 75   \n8) 50 60 70 80 90 100 110 120 130 140 150 160 X ≤ 100   \n9) -135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 -80 X > -105   \n10) 65 70 75 80 85 90 95 100 105 110 115 X ≤ 90   \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 8)[ 8](Math  www.CommonCoreSheets.com 8) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) 60 70 80 90 100 110 120 130 140 150 160 170 180  \nX ≤ 130   \nX  \n1) -145 -140 -135 -130 -125 -120 -115 -110 -105 -100 -95 X > -120 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n2) 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 X \u003C 87 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n3) 60 61 62 63 64 65 66 67 68 69 70 71 72 73 X > 66 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~  \n4) 37 38 39 40 41 42 43 44 45 46 47 48 49 X > 43 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n5) 13 14 15 16 17 18 19 20 21 22 23 24 25 X \u003C 19 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n6) -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 X \u003C -13 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n7) 70 71 72 73 74 75 76 77 78 79 80 81 82 X > 75 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~  \n8) 50 60 70 80 90 100 110 120 130 140 150 160 X ≤ 100   \nX  \n9) -135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 -80 X > -105 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n10) 65 70 75 80 85 90 95 100 105 110 115 X ≤ 90   \nX  \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 8)[ 8](Math  www.CommonCoreSheets.com 8) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) X ≤ 130  \n60 70 80 90 100 110 120 130 140 150 160 170 180  \n1) X > -120  \n-145 -140 -135 -130 -125 -120 -115 -110 -105 -100 -95  \n2) X \u003C 87  \n80 81 82 83 84 85 86 87 88 89 90 91 92 93 94  \n3) X > 66  \n60 61 62 63 64 65 66 67 68 69 70 71 72 73  \n4) X > 43  \n37 38 39 40 41 42 43 44 45 46 47 48 49  \n5) X \u003C 19  \n13 14 15 16 17 18 19 20 21 22 23 24 25  \n6) X \u003C -13  \n-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7  \n7) X > 75  \n70 71 72 73 74 75 76 77 78 79 80 81 82","cbCaigJBsLrlf1A2","https://ap.wps.com/l/cbCaigJBsLrlf1A2","pdf",63210,3,"English","en",105,"# Use the number line to express the inequality\n## Examples and practice items\n## Inequalities involving X","[{\"question\":\"What does the worksheet ask you to do with each problem?\",\"answer\":\"Use the number line to express the given inequality for X by identifying the correct points and direction of the boundary.\"},{\"question\":\"How do you interpret symbols like X \\u003e a and X \\u003c a on a number line?\",\"answer\":\"X \\u003e a means values greater than a, and X \\u003c a means values less than a; the boundary point is not included for strict inequalities.\"},{\"question\":\"Does X ≤ a include the boundary value on the number line?\",\"answer\":\"Yes. 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The “≤” symbol includes the boundary point, so the value at a is included.","https://schema.org",{"og:url":99,"og:type":139,"og:title":65,"og:site_name":110,"og:description":66},"article",{"robots":141,"canonical":99},"index,follow",{"doc_id":61,"site_id":75}]