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Additional problems include X ≥ 119 and X \u003C -140, and examples for plotting solutions on a number line, including open and closed boundary 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             \n1) -10 -5 0 5 10 15 20 25 30 35 40 45 X ≤ 20   \n2) -140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20 X ≤ -80   \n3) -250 -240 -230 -220 -210 -200 -190 -180 -170 -160 -150 -140 -130 -120 X > -180   \n4) -135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 X ≥ -110   \n5) -135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 -80 -75 X \u003C -105   \n6) 114 115 116 117 118 119 120 121 122 123 124 125 X ≥ 119   \n7) -210 -200 -190 -180 -170 -160 -150 -140 -130 -120 -110 -100 -90 -80 -70 X \u003C -140   \n8) 75 80 85 90 95 100 105 110 115 120 125 130 135 X \u003C 105   \n9) 67 68 69 70 71 72 73 74 75 76 77 X \u003C 72   \n10) 165 166 167 168 169 170 171 172 173 174 175 X > 170   \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 7)[ 7](Math  www.CommonCoreSheets.com 7) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) 140 145 150 155 160 165 170 175 180 185 190 195 200  \nX ≤ 170   \nX  \n1) -10 -5 0 5 10 15 20 25 30 35 40 45 X ≤ 20   \nX  \n2) -140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20 X ≤ -80   \nX  \n3) -250 -240 -230 -220 -210 -200 -190 -180 -170 -160 -150 -140 -130 -120 X > -180 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n4) -135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 X ≥ -110   \nX  \n5) -135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 -80 -75 X \u003C -105 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n6) 114 115 116 117 118 119 120 121 122 123 124 125 X ≥ 119   \nX  \n7) -210 -200 -190 -180 -170 -160 -150 -140 -130 -120 -110 -100 -90 -80 -70 X \u003C -140 ~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n8) 75 80 85 90 95 100 105 110 115 120 125 130 135 X \u003C 105 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n9) 67 68 69 70 71 72 73 74 75 76 77 X \u003C 72 ~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~  \n10) 165 166 167 168 169 170 171 172 173 174 175 X > 170 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~  \n1-10  90  80  70  60  50  40  30  20  10  0   \n [Math ](Math  www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math  www.CommonCoreSheets.com 7)[ 7](Math  www.CommonCoreSheets.com 7) ~~                   ~~  \nUse the numberline to express the inequality.  \nEx) X ≤ 170  \n140 145 150 155 160 165 170 175 180 185 190 195 200  \n1) X ≤ 20  \n-10 -5 0 5 10 15 20 25 30 35 40 45  \n2) X ≤ -80  \n-140 -130 -120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20  \n3) X > -180  \n-250 -240 -230 -220 -210 -200 -190 -180 -170 -160 -150 -140 -130 -120  \n4) X ≥ -110  \n-135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85  \n5) X \u003C -105  \n-135 -130 -125 -120 -115 -110 -105 -100 -95 -90 -85 -80 -75  \n6) X ≥ 119  \n114 115 116 117 118 119 120 121 122 123 124 125  \n7) X \u003C -140  \n-210 -200 -190 -180 -170 -160 -150 -140 -130 -120 -110 -100 -90 -80 -70","cbCaihvAnDZ13dkE","https://ap.wps.com/l/cbCaihvAnDZ13dkE","pdf",62920,"English","# Express inequalities on a number line\n## Example and instructions\n## Inequality items 1-7","[{\"question\":\"What does each problem ask you to do with the number line?\",\"answer\":\"Each item asks you to use the given number line and markings to represent the solution set for the inequality involving X.\"},{\"question\":\"How are inequalities like X ≤ and X \\u003c different on a number line?\",\"answer\":\"X ≤ includes the endpoint, while X \\u003c excludes the endpoint, so the boundary marking differs between the two.\"},{\"question\":\"What types of inequalities appear in this worksheet?\",\"answer\":\"The worksheet includes both “less than” and “greater than” forms, specifically ≤, \\u003c, ≥, and \\u003e with several values for X.\"}]","Use the numberline to express the inequality - Problem set | PDF"]