What is the answer to |(9-4x)/2 |=3 ?

The answer to |(9-4x)/2 |=3 is x= 3/4 \lor x= 15/4

Solve for x: |(9-4x)/2 |=3

The solution is x= 3/4 \lor x= 15/4

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\frac{9 - 4 x}{2} = 3

x = \frac{3}{4} or x = \frac{15}{4}

Solution steps

\frac{9 - 4 x}{2} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{9 - 4 x}{2} = - 3 or \frac{9 - 4 x}{2} = 3

\frac{9 - 4 x}{2} = - 3 or \frac{9 - 4 x}{2} = 3

x = \frac{3}{4} or x = \frac{15}{4}

5 ∣ x + 7 ∣ + 14 = 8

∣ x + 2 ∣ - 6 = x^{2} - 7 x - 2

∣ 2 x + 1 ∣ = 6

∣ 5 x - 3 ∣ + 12 = 5

∣ 8 x + 1 ∣ - 10 = - 2

What is the answer to |(9-4x)/2 |=3 ?
The answer to |(9-4x)/2 |=3 is x= 3/4 \lor x= 15/4
Solve for x: |(9-4x)/2 |=3
The solution is x= 3/4 \lor x= 15/4