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

The answer to 2|2x-3|= 5/2 is x= 7/8 \lor x= 17/8

Solve for x: 2|2x-3|= 5/2

The solution is x= 7/8 \lor x= 17/8

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2 ∣ 2 x - 3 ∣ = \frac{5}{2}

x = \frac{7}{8} or x = \frac{17}{8}

Decimal Notation

x = 0.875, x = 2.125

Solution steps

2 ∣ 2 x - 3 ∣ = \frac{5}{2}

Divide both sides by

2

∣ 2 x - 3 ∣ = \frac{5}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - \frac{5}{4} or 2 x - 3 = \frac{5}{4}

2 x - 3 = - \frac{5}{4} or 2 x - 3 = \frac{5}{4}

x = \frac{7}{8} or x = \frac{17}{8}

x, - f = ∣ x ∣ + 9

a, ∣ a + b ∣ = 4

∣ 5 x + 4 ∣ = 4

\frac{3}{8} ∣ x ∣ = 4

\frac{3}{8} ∣ x ∣ = 7

What is the answer to 2|2x-3|= 5/2 ?
The answer to 2|2x-3|= 5/2 is x= 7/8 \lor x= 17/8
Solve for x: 2|2x-3|= 5/2
The solution is x= 7/8 \lor x= 17/8