What is the answer to 4|m-4|=14 ?

The answer to 4|m-4|=14 is m= 1/2 \lor m= 15/2

Solve for m: 4|m-4|=14

The solution is m= 1/2 \lor m= 15/2

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4 ∣ m - 4 ∣ = 14

m = \frac{1}{2} or m = \frac{15}{2}

Solution steps

4 ∣ m - 4 ∣ = 14

Divide both sides by

4

∣ m - 4 ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m - 4 = - \frac{7}{2} or m - 4 = \frac{7}{2}

m - 4 = - \frac{7}{2} or m - 4 = \frac{7}{2}

m = \frac{1}{2} or m = \frac{15}{2}

j (x) = ∣ 3 x + 6 ∣ - 4

- 5 ∣ w + 6 ∣ = - 40

∣ x ∣ + 5 = 12

∣ x ∣ + 5 = 18

∣ 5 x - 1 ∣ = - 3

What is the answer to 4|m-4|=14 ?
The answer to 4|m-4|=14 is m= 1/2 \lor m= 15/2
Solve for m: 4|m-4|=14
The solution is m= 1/2 \lor m= 15/2