What is the answer to 3|2v-7|-4=-1 ?

The answer to 3|2v-7|-4=-1 is v=3\lor v=4

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3|2v-7|-4=-1

3 ∣ 2 v - 7 ∣ - 4 = - 1

v = 3 or v = 4

Solution steps

3 ∣ 2 v - 7 ∣ - 4 = - 1

Move

4

to the right side

3 ∣ 2 v - 7 ∣ = 3

Divide both sides by

3

∣ 2 v - 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 v - 7 = - 1 or 2 v - 7 = 1

2 v - 7 = - 1 or 2 v - 7 = 1

v = 3 or v = 4

∣ 7 x + 3 ∣ = 11

\frac{∣ 1 + x ∣}{9} = 3

x^{2} - 5 x + 5 = 1

∣ x - 2 ∣ - 1 = 5 (x + 3)

∣ 5 x - 3 ∣ = 15