What is the answer to | m/7 |+4=5 ?

The answer to | m/7 |+4=5 is m=-7\lor m=7

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| m/7 |+4=5

\frac{m}{7} + 4 = 5

m = - 7 or m = 7

Solution steps

\frac{m}{7} + 4 = 5

Move

4

to the right side

\frac{m}{7} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{m}{7} = - 1 or \frac{m}{7} = 1

\frac{m}{7} = - 1 or \frac{m}{7} = 1

m = - 7 or m = 7

∣ 3 x - 1 ∣ = - 7

∣ x + 10 ∣ = 4 x - 8

\frac{∣ 3 - x ∣}{6} = 2

7 ∣ x - 4 ∣ - 21 = - 14

∣ x - 3 ∣ = 6 x + 7