What is the answer to |9-4m|=5 ?

The answer to |9-4m|=5 is m=1\lor m= 7/2

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|9-4m|=5

∣ 9 - 4 m ∣ = 5

m = 1 or m = \frac{7}{2}

Solution steps

∣ 9 - 4 m ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 - 4 m = - 5 or 9 - 4 m = 5

9 - 4 m = - 5 or 9 - 4 m = 5

m = 1 or m = \frac{7}{2}

∣ s - 3 ∣ = 4

5 = ∣ - 2 y - 5 ∣

e ∣ x - 1 ∣ + 5 = 2

9 ∣ - 4 x - 10 ∣ - 8 = 118

∣ x + 1 ∣ = 7 - 2 x