What is the answer to | 9/4 x+1|=3 ?

The answer to | 9/4 x+1|=3 is x=-16/9 \lor x= 8/9

Solve for x: | 9/4 x+1|=3

The solution is x=-16/9 \lor x= 8/9

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\frac{9}{4} x + 1 = 3

x = - \frac{16}{9} or x = \frac{8}{9}

Decimal Notation

x = - 1.77777 \dots, x = 0.88888 \dots

Solution steps

\frac{9}{4} x + 1 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{9}{4} x + 1 = - 3 or \frac{9}{4} x + 1 = 3

\frac{9}{4} x + 1 = - 3 or \frac{9}{4} x + 1 = 3

x = - \frac{16}{9} or x = \frac{8}{9}

- 8 + 6 ∣ 8 x - 9 ∣ = 16

∣ 4 x + 4 ∣ = 15

∣ c + 380 ∣ = 15

∣ - 5 x + 12 ∣ = - 2 x + 1

∣ b + 8 ∣ + 4 = 5

What is the answer to | 9/4 x+1|=3 ?
The answer to | 9/4 x+1|=3 is x=-16/9 \lor x= 8/9
Solve for x: | 9/4 x+1|=3
The solution is x=-16/9 \lor x= 8/9