What is the answer to |4x-9|=11 ?

The answer to |4x-9|=11 is x=-1/2 \lor x=5

Solve for x: |4x-9|=11

The solution is x=-1/2 \lor x=5

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∣ 4 x - 9 ∣ = 11

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

Solution steps

∣ 4 x - 9 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 9 = - 11 or 4 x - 9 = 11

4 x - 9 = - 11 or 4 x - 9 = 11

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

∣ 9 x - 5 ∣ = - 8

x^{2} + 7 + ∣ x - 3 ∣ = 6 x

\frac{x}{11} = 6

2.5 ∣ x + 0.6 ∣ = 8

3 = 10 + ∣ x ∣