What is the answer to 3|2x-1|+2=5 ?

The answer to 3|2x-1|+2=5 is x=0\lor x=1

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3|2x-1|+2=5

3 ∣ 2 x - 1 ∣ + 2 = 5

x = 0 or x = 1

Solution steps

3 ∣ 2 x - 1 ∣ + 2 = 5

Move

2

to the right side

3 ∣ 2 x - 1 ∣ = 3

Divide both sides by

3

∣ 2 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 1 or 2 x - 1 = 1

2 x - 1 = - 1 or 2 x - 1 = 1

x = 0 or x = 1

x, h (x) = f (g)

2 a^{2} - 3 ab - 5 b^{2}

- \frac{5}{4} - 2

x^{2} + 8 x + 12 \geq 0

3 x - 7 = 2 x + 5