What is the answer to 3/2 |x+4|-2= 5/2 ?

The answer to 3/2 |x+4|-2= 5/2 is x=-7\lor x=-1

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3/2 |x+4|-2= 5/2

\frac{3}{2} ∣ x + 4 ∣ - 2 = \frac{5}{2}

x = - 7 or x = - 1

Solution steps

\frac{3}{2} ∣ x + 4 ∣ - 2 = \frac{5}{2}

Move

2

to the right side

\frac{3}{2} ∣ x + 4 ∣ = \frac{9}{2}

Multiply both sides by

2

3 ∣ x + 4 ∣ = 9

Divide both sides by

3

∣ x + 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - 3 or x + 4 = 3

x + 4 = - 3 or x + 4 = 3

x = - 7 or x = - 1

∣ 3 x + 1 ∣ \geq 7

\frac{1}{2} (- 3 d - 6) = - \frac{3}{8} (3 d + 3)

21 x^{2} + 11 x - 2

2 (1)^{3} + 3 (1)^{2} - 12 (1) + 6

5 (x + 2)^{2} = - 6 x + 44

What is the answer to 3/2 |x+4|-2= 5/2 ?
The answer to 3/2 |x+4|-2= 5/2 is x=-7\lor x=-1
Solve for x: 3/2 |x+4|-2= 5/2
The solution is x=-7\lor x=-1