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

The answer to -1=-4|x-3| is x= 11/4 \lor x= 13/4

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

The solution is x= 11/4 \lor x= 13/4

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- 1 = - 4 ∣ x - 3 ∣

x = \frac{11}{4} or x = \frac{13}{4}

Decimal

x = 2.75, x = 3.25

Solution steps

- 1 = - 4 ∣ x - 3 ∣

Switch sides

- 4 ∣ x - 3 ∣ = - 1

Divide both sides by

- 4

∣ x - 3 ∣ = \frac{1}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{11}{4} or x = \frac{13}{4}

∣ 5 - 5 x ∣ = 2

∣ 3 a + 6 ∣ = ∣ 3 a - 8 ∣

\frac{7}{4} ∣ 3 x + 5 ∣ + 1 = 15

∣ 2 j + 3 ∣ = ∣ j ∣

∣ X - 3 ∣ = 24

What is the answer to -1=-4|x-3| ?
The answer to -1=-4|x-3| is x= 11/4 \lor x= 13/4
Solve for x: -1=-4|x-3|
The solution is x= 11/4 \lor x= 13/4