What is the answer to -3|x-2|+4=-1/2 ?

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

Solve for x: -3|x-2|+4=-1/2

The solution is x= 1/2 \lor x= 7/2

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- 3 ∣ x - 2 ∣ + 4 = - \frac{1}{2}

x = \frac{1}{2} or x = \frac{7}{2}

Decimal

x = 0.5, x = 3.5

Solution steps

- 3 ∣ x - 2 ∣ + 4 = - \frac{1}{2}

Move

4

to the right side

- 3 ∣ x - 2 ∣ = - \frac{9}{2}

Divide both sides by

- 3

∣ x - 2 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{3}{2} or x - 2 = \frac{3}{2}

x - 2 = - \frac{3}{2} or x - 2 = \frac{3}{2}

x = \frac{1}{2} or x = \frac{7}{2}

∣ 9 x + 20 ∣ = 38

\frac{1}{3} ∣ 3 x - 6 ∣ - 2 = 5

\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ - 5 = 3

\frac{4}{3} ∣ 3 x - 6 ∣ = 16

∣ x + 12 ∣ = 3

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