What is the answer to |(2t-5)/3 |=1 ?

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

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|(2t-5)/3 |=1

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

t = 1 or t = 4

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2 t - 5}{3} = - 1 or \frac{2 t - 5}{3} = 1

\frac{2 t - 5}{3} = - 1 or \frac{2 t - 5}{3} = 1

t = 1 or t = 4

3 ∣ 2 x - 7 ∣ + 5 = 11

∣ 4 x + 5 ∣ - 2 = 18

∣ 5 x - 1 ∣ + 4 = 1

x^{2} - 5 ∣ x ∣ - 4 = 0

∣ 1 - 4 m ∣ = 7

What is the answer to |(2t-5)/3 |=1 ?
The answer to |(2t-5)/3 |=1 is t=1\lor t=4
Solve for t: |(2t-5)/3 |=1
The solution is t=1\lor t=4