What is the answer to -4=-|t-3|-2 ?

The answer to -4=-|t-3|-2 is t=1\lor t=5

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-4=-|t-3|-2

- 4 = - ∣ t - 3 ∣ - 2

t = 1 or t = 5

Solution steps

- 4 = - ∣ t - 3 ∣ - 2

Move

∣ t - 3 ∣

to the left side

- 4 + ∣ t - 3 ∣ = - 2

Move

4

to the right side

∣ t - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

t - 3 = - 2 or t - 3 = 2

t - 3 = - 2 or t - 3 = 2

t = 1 or t = 5

5 - \frac{1}{2} x = 3

\frac{3}{4} + \frac{4}{5}

3 m^{3} - 9 m^{2}

6 x + 5 < - 21

2 x - 3 = x + 7