What is the answer to 3|5x-11|-1=4 ?

The answer to 3|5x-11|-1=4 is x= 28/15 \lor x= 38/15

Solve for x: 3|5x-11|-1=4

The solution is x= 28/15 \lor x= 38/15

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3 ∣ 5 x - 11 ∣ - 1 = 4

x = \frac{28}{15} or x = \frac{38}{15}

Decimal Notation

x = 1.86666 \dots, x = 2.53333 \dots

Solution steps

3 ∣ 5 x - 11 ∣ - 1 = 4

Move

1

to the right side

3 ∣ 5 x - 11 ∣ = 5

Divide both sides by

3

∣ 5 x - 11 ∣ = \frac{5}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 11 = - \frac{5}{3} or 5 x - 11 = \frac{5}{3}

5 x - 11 = - \frac{5}{3} or 5 x - 11 = \frac{5}{3}

x = \frac{28}{15} or x = \frac{38}{15}

6 x^{2} - 2 x - 4

3 x y - 4 x^{2} + 6 y - 8 x

\frac{x}{2} - \frac{13}{6} \leq \frac{x}{3} + 1

2 x - 7 = 20 - x

x^{2} - 4 x + 3 = 0

What is the answer to 3|5x-11|-1=4 ?
The answer to 3|5x-11|-1=4 is x= 28/15 \lor x= 38/15
Solve for x: 3|5x-11|-1=4
The solution is x= 28/15 \lor x= 38/15