What is the answer to 4+| b/6 |=5 ?

The answer to 4+| b/6 |=5 is b=-6\lor b=6

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4+| b/6 |=5

4 + \frac{b}{6} = 5

b = - 6 or b = 6

Solution steps

4 + \frac{b}{6} = 5

Move

4

to the right side

\frac{b}{6} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{b}{6} = - 1 or \frac{b}{6} = 1

\frac{b}{6} = - 1 or \frac{b}{6} = 1

b = - 6 or b = 6

2 ∣ x - 1 ∣ = \frac{1}{2} x + 8

∣ 2 a + 4 ∣ = ∣ 3 a - 2 ∣

x, \frac{x}{5} = 3

∣ x + 1 ∣ - 3 = - x

4 + 2 ∣ x + 3 ∣ = 12