Absolute Value Inequalities and Graphs

Solve.

• no solution

• -6 ≤ r ≥ 8

• 6 > r > -8

• -6 < r < 8

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -3|-x - 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = 5|x - 1| + 4

• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D

Which function is graphed? You can click the picture to zoom in!

• f(x) = 2|x - 4| - 3

• f(x) = ¹/₂ |x + 4| - 3

• f(x) = ¹/₂|x - 3| - 4

• f(x) = 2|x + 3| + 4

Solve |x – 12| - 3 = 11.

• x = -2 or-26

• x = -2 or 26

• x = 3 or 25

• x = 4 or -7

Solve:  |2x - 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

• - 7 < y < 3
• - 8 < y < 4
• - 7 < y < - 3
• - 8 < y < - 4

Which graph matches the function? y = -2|x - 3| + 5 ? (Click the picture to zoom in and see the graphs up close!)

• A

• B

• C

• D

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Tags

CCSS.6.EE.B.8