What is the answer to |x|= 3/7 ?

The answer to |x|= 3/7 is x=-3/7 \lor x= 3/7

Solve for x: |x|= 3/7

The solution is x=-3/7 \lor x= 3/7

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∣ x ∣ = \frac{3}{7}

x = - \frac{3}{7} or x = \frac{3}{7}

Decimal Notation

x = - 0.42857 \dots, x = 0.42857 \dots

Solution steps

∣ x ∣ = \frac{3}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{3}{7} or x = \frac{3}{7}

∣ x ∣ = \frac{3}{5}

∣ 2 x ∣ - 4 = 3

∣ - 8 + r ∣ = 12

∣ 9 y + 9 ∣ - 8 = 0

∣ x ∣ = 36