What is the answer to |2v+11|=3 ?

The answer to |2v+11|=3 is v=-7\lor v=-4

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|2v+11|=3

∣ 2 v + 11 ∣ = 3

v = - 7 or v = - 4

Solution steps

∣ 2 v + 11 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 v + 11 = - 3 or 2 v + 11 = 3

2 v + 11 = - 3 or 2 v + 11 = 3

v = - 7 or v = - 4

\frac{9 x}{4} - 6 = \frac{2 x}{3} + \frac{1}{3}

6 + \frac{- x}{2} = 14

6 x^{2} + 18 x y + 12 y^{2}

3 s^{2} + 10 s + 7

\frac{1}{4} \leq \frac{x + 1}{5} < \frac{5}{2}