What is the answer to | 1/2 b+1|=3 ?

The answer to | 1/2 b+1|=3 is b=-8\lor b=4

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| 1/2 b+1|=3

\frac{1}{2} b + 1 = 3

b = - 8 or b = 4

Solution steps

\frac{1}{2} b + 1 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} b + 1 = - 3 or \frac{1}{2} b + 1 = 3

\frac{1}{2} b + 1 = - 3 or \frac{1}{2} b + 1 = 3

b = - 8 or b = 4

\frac{x ^{2} - 6}{2} - \frac{x ^{2} + 4}{4} = 5

- 0.3 x - 7.2 \leq 0.1 x + 0.4

x^{4} - 10 x + 9

1018

8 = - x^{2} - x