Solving Absolute Value Inequalities Review

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

Which compound inequality involves >,≥ when solving absolute value inequalities?

• and

• or

| 5x | < 30

• -6 < x and x < 6

• x < -6 or x > 6

• No solution

• All real solution

8 - 9|10r - 9| = -73

• r = 0, r = 5

• no solution

• a> -1/6 or a< -5/6

• a>1/2 or a< -3/2

• all real numbers

Solve.
6 - 2|m -3| > -4

• -8 < m < 2

• m < -8 or m > 2

• m < -2 or m > 8

• -2 < m < 8

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

• 
• 
• 
• 

Answer explanation

Remember what sort of graph < means for absolute-value.

Solve the absolute value inequality.

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Tags

CCSS.6.EE.B.8

What would be the first step to isolate the absolute value?