What is the answer to 11-|x-2|=9 ?

The answer to 11-|x-2|=9 is x=0\lor x=4

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11-|x-2|=9

11 - ∣ x - 2 ∣ = 9

x = 0 or x = 4

Solution steps

11 - ∣ x - 2 ∣ = 9

Move

11

to the right side

- ∣ x - 2 ∣ = - 2

Divide both sides by

- 1

∣ x - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 2 or x - 2 = 2

x - 2 = - 2 or x - 2 = 2

x = 0 or x = 4

∣ 3 x + 5 ∣ < 17

\frac{2 x - 3}{2} \geq \frac{x + 1}{3}

9 0^{2}

3 t - 4 < - 62

\frac{a ^{2} - 4}{3} \cdot \frac{5 b}{a + 2}