What is the answer to |7x|=9 ?

The answer to |7x|=9 is x=-9/7 \lor x= 9/7

The solution is x=-9/7 \lor x= 9/7

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|7x|=9

∣ 7 x ∣ = 9

x = - \frac{9}{7} or x = \frac{9}{7}

Decimal Notation

x = - 1.28571 \dots, x = 1.28571 \dots

Solution steps

∣ 7 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x = - 9 or 7 x = 9

7 x = - 9 or 7 x = 9

x = - \frac{9}{7} or x = \frac{9}{7}

∣ 7 x ∣ = 7

∣ x - 8 ∣ + 10 = 28

3 ∣ x ∣ - 6 = 15

∣ 2 x - 1 ∣ = 12

∣ 3 x + 3 ∣ = 11