What is the answer to |1-2t|+1=8 ?

The answer to |1-2t|+1=8 is t=-3\lor t=4

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|1-2t|+1=8

∣ 1 - 2 t ∣ + 1 = 8

t = - 3 or t = 4

Solution steps

∣ 1 - 2 t ∣ + 1 = 8

Move

1

to the right side

∣ 1 - 2 t ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 2 t = - 7 or 1 - 2 t = 7

1 - 2 t = - 7 or 1 - 2 t = 7

t = - 3 or t = 4

3 ∣ x + 7 ∣ = 15

3 ∣ x + 7 ∣ = 12

∣ x - 2 ∣ = - 3 x + 18

11 = 8 ∣ h ∣ - 3

x = ln (C (x) u (x) (x)^{2})