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

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

Solve for x: |4x-5|=3

The solution is x= 1/2 \lor x=2

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∣ 4 x - 5 ∣ = 3

x = \frac{1}{2} or x = 2

Decimal Notation

x = 0.5, x = 2

Solution steps

∣ 4 x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - 3 or 4 x - 5 = 3

4 x - 5 = - 3 or 4 x - 5 = 3

x = \frac{1}{2} or x = 2

\frac{( x - 5 ) ( x + 3 )}{x - 1} < 0

- 3 < x + 5 < 8

6 X + 7 X + 10

∣ 9 - 3 x ∣ \geq 12

3 \cdot 5