What is the answer to 4=| c/4 | ?

The answer to 4=| c/4 | is c=-16\lor c=16

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4=| c/4 |

4 = \frac{c}{4}

c = - 16 or c = 16

Solution steps

4 = \frac{c}{4}

Switch sides

\frac{c}{4} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{c}{4} = - 4 or \frac{c}{4} = 4

\frac{c}{4} = - 4 or \frac{c}{4} = 4

c = - 16 or c = 16

∣ 3 x - 1 ∣ = x + ∣ 2 - x ∣

∣ x - 1 ∣ + 17 = 23

\frac{x ^{2}}{4} = 1

∣ x + 9 ∣ + ∣ x - 3 ∣ + ∣ x + 7 ∣ + ∣ x - 4 ∣ = 8

∣ b ∣ = - 2