What is the answer to 2=|t+8| ?

The answer to 2=|t+8| is t=-10\lor t=-6

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2=|t+8|

2 = ∣ t + 8 ∣

t = - 10 or t = - 6

Solution steps

2 = ∣ t + 8 ∣

Switch sides

∣ t + 8 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

t + 8 = - 2 or t + 8 = 2

t + 8 = - 2 or t + 8 = 2

t = - 10 or t = - 6

- ∣ x + 3 ∣ = 4

x^{5} = - ∣ 6 ∣

∣ x ∣ = 1, 0 \leq y \leq 2

∣ 3 - 3 t ∣ + 1 = 16

∣ 3 - 3 t ∣ + 1 = 10