What is the answer to |x-4|= 3/2 ?

The answer to |x-4|= 3/2 is x= 5/2 \lor x= 11/2

Solve for x: |x-4|= 3/2

The solution is x= 5/2 \lor x= 11/2

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∣ x - 4 ∣ = \frac{3}{2}

x = \frac{5}{2} or x = \frac{11}{2}

Decimal Notation

x = 2.5, x = 5.5

Solution steps

∣ x - 4 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{5}{2} or x = \frac{11}{2}

∣ x ∣ = \frac{- 7}{8}

- 8 ∣ q ∣ = - 8

3 - 3 ∣ 4 + 7 r ∣ = - 93

29 = ∣ 11 - c ∣

∣ n + 7 ∣ = 5

What is the answer to |x-4|= 3/2 ?
The answer to |x-4|= 3/2 is x= 5/2 \lor x= 11/2
Solve for x: |x-4|= 3/2
The solution is x= 5/2 \lor x= 11/2