Solving Absolute Value Inequalities

3 | d + 1 | - 7 ≥ -1

• No Solution

• All Real Numbers

• ( $-\infty,\ -3$ ] $\cup$ [ $1,\ \infty$ )

• $\left[-1,\ 3\right]$

| n + 2 | - 3 ≥ -6

• No Solution
• All Real Numbers
• n ≤ -5  or  n ≥ 1
• -5 ≤ n ≤ 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve the absolute Value inequality and graph.

• A

• B

• C

• D

What is the solution to the inequality:  $\left|10x-4\right|-10\le-4$  ?

•  $-\frac{1}{5}\le x\le1$  

• All real numbers

• No solution

•  $x\ge1\ or\ x\le-\frac{1}{5}$  

Which represents the solution to the inequality:   $\left|x-4\right|\le0$ ?

• No solution

• All real numbers

•  $\left\{4\right\}$  

•  $x\ \in\ R,\ x\ne4$  

Which shows the solution to the inequality:  $-3\left|x-4\right|+2\ge8$ ?

• No solution

• All real numbers

•  $-6\le x\le-2$  

•  $x\le-6\ or\ x\ge-2$