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

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

The solution is x=-9/4 \lor x= 9/4

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|4x|=9

∣ 4 x ∣ = 9

x = - \frac{9}{4} or x = \frac{9}{4}

Decimal Notation

x = - 2.25, x = 2.25

Solution steps

∣ 4 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x = - 9 or 4 x = 9

4 x = - 9 or 4 x = 9

x = - \frac{9}{4} or x = \frac{9}{4}

- ∣ x - 2 ∣ + 9 = 6

- 10 = 2 ∣ 7 z ∣

∣ - 2 (x + 2) ∣ = 1

∣ - 14 y + 4 ∣ + 7 = 2

∣ 8 x + 2 ∣ + 3 = 6