What is the answer to | a/2 |-1=4 ?

The answer to | a/2 |-1=4 is a=-10\lor a=10

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| a/2 |-1=4

\frac{a}{2} - 1 = 4

a = - 10 or a = 10

Solution steps

\frac{a}{2} - 1 = 4

Move

1

to the right side

\frac{a}{2} = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{a}{2} = - 5 or \frac{a}{2} = 5

\frac{a}{2} = - 5 or \frac{a}{2} = 5

a = - 10 or a = 10

∣ 4 x + 1 ∣ = 20

∣ 2 x - 4 ∣ = 2

∣ x + 2 ∣ + 16 = 14

y, x = ∣ y ∣ - 1

∣ 2 x - 5 ∣ = 4 x - 9