What is the answer to |9-4x|=7 ?

The answer to |9-4x|=7 is x= 1/2 \lor x=4

Solve for x: |9-4x|=7

The solution is x= 1/2 \lor x=4

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∣ 9 - 4 x ∣ = 7

x = \frac{1}{2} or x = 4

Decimal

x = 0.5, x = 4

Solution steps

∣ 9 - 4 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 4 x = - 7 or 9 - 4 x = 7

9 - 4 x = - 7 or 9 - 4 x = 7

x = \frac{1}{2} or x = 4

∣ 4 z + 3 ∣ + 5 = 8

3 ∣ 2 x + 4 ∣ = 18

3 ∣ x - 2 ∣ + 7 = 0

- 7 = ∣ 7 z ∣

x^{2} - 2 x + 2 + ∣ x - 2 ∣ = 2 ∣ x - 1 ∣