What is the answer to 1+3|2x-5|=4 ?

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

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1+3|2x-5|=4

1 + 3 ∣ 2 x - 5 ∣ = 4

x = 2 or x = 3

Solution steps

1 + 3 ∣ 2 x - 5 ∣ = 4

Move

1

to the right side

3 ∣ 2 x - 5 ∣ = 3

Divide both sides by

3

∣ 2 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 1 or 2 x - 5 = 1

2 x - 5 = - 1 or 2 x - 5 = 1

x = 2 or x = 3

x^{2} - 3 x y + \frac{1}{2} y^{2}

∣ 2 x + 5 ∣ < 13

\frac{2 i}{3 - 4 i}

\frac{( \frac{3}{4} ) + 3}{2} < \frac{2 ( \frac{3}{4} ) - 5}{4}

42 = 8 x - x