What is the answer to 5-| 1/2 x|=3 ?

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

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5-| 1/2 x|=3

5 - \frac{1}{2} x = 3

x = - 4 or x = 4

Solution steps

5 - \frac{1}{2} x = 3

Move

5

to the right side

- \frac{1}{2} x = - 2

Divide both sides by

- 1

\frac{1}{2} x = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 4 or x = 4

\frac{3}{4} + \frac{4}{5}

3 m^{3} - 9 m^{2}

6 x + 5 < - 21

2 x - 3 = x + 7

x + 5 - \frac{1}{2} (4 - 6 x) = 12