What is the answer to 11=8|h|-3 ?

The answer to 11=8|h|-3 is h=-7/4 \lor h= 7/4

Solve for h: 11=8|h|-3

The solution is h=-7/4 \lor h= 7/4

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11 = 8 ∣ h ∣ - 3

h = - \frac{7}{4} or h = \frac{7}{4}

Solution steps

11 = 8 ∣ h ∣ - 3

Switch sides

8 ∣ h ∣ - 3 = 11

Move

3

to the right side

8 ∣ h ∣ = 14

Divide both sides by

8

∣ h ∣ = \frac{7}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

h = - \frac{7}{4} or h = \frac{7}{4}

x = ln (C (x) u (x) (x)^{2})

∣ 3 (x + 1) ∣ = 15

2 ∣ 4 x - 10 ∣ + 8 = 12

- 2 ∣ p + 6 ∣ - 3 = - 17

∣ x ∣ - 17 = - 13