What is the answer to 1+| b/2 |=4 ?

The answer to 1+| b/2 |=4 is b=-6\lor b=6

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1+| b/2 |=4

1 + \frac{b}{2} = 4

b = - 6 or b = 6

Solution steps

1 + \frac{b}{2} = 4

Move

1

to the right side

\frac{b}{2} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{b}{2} = - 3 or \frac{b}{2} = 3

\frac{b}{2} = - 3 or \frac{b}{2} = 3

b = - 6 or b = 6

∣ x - 2 ∣ - 6 = - 5

x, ∣ x ∣ + y = 8

∣ 2 y + 5 ∣ - 22 = 0

∣ - 5 - 6 x ∣ = 3

∣ x ∣ = - 6 x^{1}