What is the answer to 4|v-5|=16 ?

The answer to 4|v-5|=16 is v=1\lor v=9

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4|v-5|=16

4 ∣ v - 5 ∣ = 16

v = 1 or v = 9

Solution steps

4 ∣ v - 5 ∣ = 16

Divide both sides by

4

∣ v - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v - 5 = - 4 or v - 5 = 4

v - 5 = - 4 or v - 5 = 4

v = 1 or v = 9

\frac{1}{3} x + 4 = 3

∣ f - 6 ∣ = f + 8

∣ 3 x - 4 ∣ = 1

∣ x - 4 ∣ = - 2

x^{2} - 2 = 2