What is the answer to | p/2 |+7=11 ?

The answer to | p/2 |+7=11 is p=-8\lor p=8

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| p/2 |+7=11

\frac{p}{2} + 7 = 11

p = - 8 or p = 8

Solution steps

\frac{p}{2} + 7 = 11

Move

7

to the right side

\frac{p}{2} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{p}{2} = - 4 or \frac{p}{2} = 4

\frac{p}{2} = - 4 or \frac{p}{2} = 4

p = - 8 or p = 8

∣ 4 x + 3 ∣ - 3 = 0

∣ x + 12 ∣ = 9

∣ - 9 x + 4 ∣ = 86

- 5 ∣ x + 9 ∣ - 1 = 14

∣ 5 x - 4 ∣ - 3 = 8