Expressing Inequalities on a Numberline - Numberline inequality expressions

Sep 30, 2026

Uploaded by Aria

Materials instruct using a number line to represent inequalities. Examples list specific x-inequality statements such as x>63, x>40, x≥-40, x≤110, x>-80, and x≤-71, with corresponding plotted intervals or shaded regions on the number line. Multiple problems provide different numeric ranges and endpoint conditions (greater than, less than, inclusive and exclusive). The worksheet repeats the numberline method across ten items, emphasizing correct placement of boundaries and direction.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Use the number line to express inequalities

63">Example: x > 63

Problems 1-10

Use the numberline to express the inequality. Ex) 57 58 59 60 61 62 63 64 65 66 67 68 69 X > 63 1) -20 -10 0 10 20 30 40 50 60 70 80 90 X > 40 2) -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 10 X ≥ -40 3) 40 50 60 70 80 90 100 110 120 130 140 150 160 X ≤ 110 4) -86 -85 -84 -83 -82 -81 -80 -79 -78 -77 -76 -75 X > -80 5) -78 -77 -76 -75 -74 -73 -72 -71 -70 -69 -68 -67 -66 X ≤ -71 6) 40 50 60 70 80 90 100 110 120 130 140 150 160 X ≤ 110 7) 140 145 150 155 160 165 170 175 180 185 190 195 X ≤ 165 8) 150 151 152 153 154 155 156 157 158 159 160 161 162 X ≥ 157 9) -60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60 X > -10 10) -40 -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 X > -10 1-10 90 80 70 60 50 40 30 20 10 0 Math ~~ ~~ [www.CommonCoreSheets.com](www.CommonCoreSheets.com) Use the numberline to express the inequality. Ex) 57 58 59 60 61 62 63 64 65 66 67 68 69 X > 63 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~ 1) -20 -10 0 10 20 30 40 50 60 70 80 90 X > 40 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~ 2) -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 10 X ≥ -40 X 3) 40 50 60 70 80 90 100 110 120 130 140 150 160 X ≤ 110 X 4) -86 -85 -84 -83 -82 -81 -80 -79 -78 -77 -76 -75 X > -80 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~ 5) -78 -77 -76 -75 -74 -73 -72 -71 -70 -69 -68 -67 -66 X ≤ -71 X 6) 40 50 60 70 80 90 100 110 120 130 140 150 160 X ≤ 110 X 7) 140 145 150 155 160 165 170 175 180 185 190 195 X ≤ 165 X 8) 150 151 152 153 154 155 156 157 158 159 160 161 162 X ≥ 157 X 9) -60 -50 -40 -30 -20 -10 0 10 20 30 40 50 60 X > -10 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~~~ ~~ 10) -40 -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 X > -10 ~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~~~ ~~X~~ ~~~~ ~~~~ ~~ Seed: 1028516897-61 1-10 90 80 70 60 50 40 30 20 10 0 Math ~~ ~~ [www.CommonCoreSheets.com](www.CommonCoreSheets.com) Use the numberline to express the inequality. Ex) X > 63 57 58 59 60 61 62 63 64 65 66 67 68 69 1) X > 40 -20 -10 0 10 20 30 40 50 60 70 80 90 2) X ≥ -40 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 10 3) X ≤ 110 40 50 60 70 80 90 100 110 120 130 140 150 160 4) X > -80 -86 -85 -84 -83 -82 -81 -80 -79 -78 -77 -76 -75 5) X ≤ -71 -78 -77 -76 -75 -74 -73 -72 -71 -70 -69 -68 -67 -66 6) X ≤ 110 40 50 60 70 80 90 100 110 120 130 140 150 160 7) X ≤ 165 140 145 150 155 160 165 170 175 180 185 190 195

FAQs

What does the worksheet ask you to do with the number line?

Use the number line to express each inequality by locating the correct boundary point and indicating the direction of the solution set.

How are strict inequalities like x > a handled on the number line?

They use an open boundary at a, showing values greater than the boundary.

How are inclusive inequalities like x ≥ a or x ≤ a handled on the number line?

They include the boundary point at a, showing values greater than or equal to (or less than or equal to) that point.

Sep 30, 2026

Uploaded by Aria