What is the answer to 4|v-5|=6 ?

The answer to 4|v-5|=6 is v= 7/2 \lor v= 13/2

Solve for v: 4|v-5|=6

The solution is v= 7/2 \lor v= 13/2

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4 ∣ v - 5 ∣ = 6

v = \frac{7}{2} or v = \frac{13}{2}

Decimal Notation

v = 3.5, v = 6.5

Solution steps

4 ∣ v - 5 ∣ = 6

Divide both sides by

4

∣ v - 5 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

v - 5 = - \frac{3}{2} or v - 5 = \frac{3}{2}

v - 5 = - \frac{3}{2} or v - 5 = \frac{3}{2}

v = \frac{7}{2} or v = \frac{13}{2}

∣ 6 x - 10 ∣ = - 8

∣ c - 6 ∣ = 24

∣ 2 - c ∣ + 2 c = 13

∣ 2 m - 3 ∣ = 4 m - 1

∣ 5 x - 3 ∣ = 8