absolute inequalities

3 | 2t - 3 | - 5 > 16

• No Solution
• All Real Numbers
• t < -2  or  t > 5
• -2 < t < 5

Tags

CCSS.6.NS.C.7C

 $\left|5\ -\ 5r\right|+1>-36$  

solve

• no solution

• All real numbers

• 6 > r > -8

Solve for x: 0.5|x + 14| - 3 = 7

• x = -6 or x = -22

• x = 6 or x = -34

• x = -9 or x = -19

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x: -0.5|x + 10| > 28

• -24 < x < 4

• -66 < x < 46

• x < -66 or x > 46

• No solution

Solve for x: |x - 15| < 21

• -21 < x < 21

• -6 < x < 36

• x < -36 or x > 6

• No Solution

Solve for p. 9|9 - 2p| = 81

• p = 0, p = -9

• p = -63/2, p = 99/2

• p = 0, p = 9

• No Solution

Tags

CCSS.6.NS.C.7C