What is the answer to |3x|=4 ?

The answer to |3x|=4 is x=-4/3 \lor x= 4/3

The solution is x=-4/3 \lor x= 4/3

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|3x|=4

∣ 3 x ∣ = 4

x = - \frac{4}{3} or x = \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots, x = 1.33333 \dots

Solution steps

∣ 3 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 4 or 3 x = 4

3 x = - 4 or 3 x = 4

x = - \frac{4}{3} or x = \frac{4}{3}

\frac{x + 8}{3} = 7

∣ x + 3 ∣ = - x - 3

∣ u ∣ = 3, - 2

16 = 4 - ∣ w - 1 ∣

x^{2} - 6 x + 4 = 4