What is the answer to 9=3|p| ?

The answer to 9=3|p| is p=-3\lor p=3

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9=3|p|

9 = 3 ∣ p ∣

p = - 3 or p = 3

Solution steps

9 = 3 ∣ p ∣

Switch sides

3 ∣ p ∣ = 9

Divide both sides by

3

∣ p ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

p = - 3 or p = 3

9 - x^{2} + 1 = 0

4 - ∣ 3 x + 1 ∣ = 5

∣ 4 x - 8 ∣ = 14

x, 5 ∣ x ∣ + y = 4

3 - ∣ 8 x + 6 ∣ = 3