What is the answer to |m|-5=1 ?

The answer to |m|-5=1 is m=-6\lor m=6

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|m|-5=1

∣ m ∣ - 5 = 1

m = - 6 or m = 6

Solution steps

∣ m ∣ - 5 = 1

Move

5

to the right side

∣ m ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m = - 6 or m = 6

∣ 4 x - 3 ∣ - 1 = 16

- 2 ∣ 8 - 3 x ∣ + 17 = - 1

3 - 2 x^{2} = 3

2 \cdot ∣ x - 1 ∣ = 4 - x

∣ v ∣ + 14 = 23