What is the answer to |x+7|= 1/2 ?

The answer to |x+7|= 1/2 is x=-15/2 \lor x=-13/2

Solve for x: |x+7|= 1/2

The solution is x=-15/2 \lor x=-13/2

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∣ x + 7 ∣ = \frac{1}{2}

x = - \frac{15}{2} or x = - \frac{13}{2}

Decimal Notation

x = - 7.5, x = - 6.5

Solution steps

∣ x + 7 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{15}{2} or x = - \frac{13}{2}

∣ y + 2 ∣ + 4 = 7

- ∣ x + 1 ∣ + 2 = 0

- ∣ x + 3 ∣ = - 4

\frac{m}{7} + 1 = 0

- 2 ∣ 5 x - 7 ∣ + 9 = - 1

What is the answer to |x+7|= 1/2 ?
The answer to |x+7|= 1/2 is x=-15/2 \lor x=-13/2
Solve for x: |x+7|= 1/2
The solution is x=-15/2 \lor x=-13/2