Solve an absolute value inequality with operations Algebra I

Solve the following absolute value inequalities using operations.

\left| 3x+2 \right|≤2

\dfrac{-4}{3} \leq x \leq 0

\dfrac {-2} {3} \leq x \leq 2

x\lt-1 or x\gt2

x\lt-2 or x\gt1

\left | 2x + 4 \right | ≤8

2 \leq x \leq 7

-1 \leq x \leq 5

-4 \leq x \leq 3

-6 \leq x \leq 2

\left | 3x + 4 \right | ≤-2

-1 \leq x \leq 5

No solution

2 \leq x \leq 7

-6 \leq x \leq 2

\left | x + 4 \right | \geq 8

\dfrac {-2} {3} \leq x \leq 2

x \geq4 \text{ or } x\leq -12

2 \leq x \leq 7

-1 \leq x \leq 5

\left | -2x + 6 \right | \geq 12

\dfrac {-2} {3} \leq x \leq 2

2 \leq x \leq 7

-1 \leq x \leq 5

x\leq -3 \text{ or } x\geq 9

\left | -2x + 4 \right | \lt 20

12 \gt x \gt -8

\dfrac {-2} {3} \leq x \leq 2

-1 \leq x \leq 5

2 \leq x \leq 7

\left | 2x + 7 \right | \lt 0

2 \leq x \leq 7

\dfrac {-2} {3} \leq x \leq 2

No solution

-1 \leq x \leq 5