What is the answer to |2x+9|=7 ?

The answer to |2x+9|=7 is x=-8\lor x=-1

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|2x+9|=7

∣ 2 x + 9 ∣ = 7

x = - 8 or x = - 1

Solution steps

∣ 2 x + 9 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 9 = - 7 or 2 x + 9 = 7

2 x + 9 = - 7 or 2 x + 9 = 7

x = - 8 or x = - 1

2 (\frac{π}{4})

\frac{1}{4} \cdot 4

(2 x - 1) \cdot (\frac{- x + 1}{2}) < 0

ln (\frac{5}{2})

8 x^{2} - 16 x + 6