What is the answer to -4=-|t| ?

The answer to -4=-|t| is t=-4\lor t=4

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-4=-|t|

- 4 = - ∣ t ∣

t = - 4 or t = 4

Solution steps

- 4 = - ∣ t ∣

Move

∣ t ∣

to the left side

- 4 + ∣ t ∣ = 0

Move

4

to the right side

∣ t ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

t = - 4 or t = 4

∣ a + 1 ∣ = 11

∣ 6 x + 9 ∣ + 5 = 4

∣ a + 1 ∣ = - 3

- 5 ∣ x - 4 ∣ = - 15

x^{2} - ∣ 16 ∣ = 0