What is the answer to 5=| t/4 | ?

The answer to 5=| t/4 | is t=-20\lor t=20

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5=| t/4 |

5 = \frac{t}{4}

t = - 20 or t = 20

Solution steps

5 = \frac{t}{4}

Switch sides

\frac{t}{4} = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{t}{4} = - 5 or \frac{t}{4} = 5

\frac{t}{4} = - 5 or \frac{t}{4} = 5

t = - 20 or t = 20

- ∣ x ∣ = 1

- 4 ∣ 3 x + 1 ∣ + 5 = - 15

1 + ∣ 3 x + 6 ∣ + 4 x = 0

∣ x - 2 ∣ + 3 = 7

∣ x - 3 ∣ = 2 x + 3