What is the answer to |7r-4|=24 ?

The answer to |7r-4|=24 is r=-20/7 \lor r=4

Solve for r: |7r-4|=24

The solution is r=-20/7 \lor r=4

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∣ 7 r - 4 ∣ = 24

r = - \frac{20}{7} or r = 4

Decimal Notation

r = - 2.85714 \dots, r = 4

Solution steps

∣ 7 r - 4 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 r - 4 = - 24 or 7 r - 4 = 24

7 r - 4 = - 24 or 7 r - 4 = 24

r = - \frac{20}{7} or r = 4

∣ 3 p - 8 ∣ - 10 = - 3

- 2 ∣ - x ∣ + 5 = 8

8 + ∣ 2 x - 4 ∣ = 20

∣ 3 - 6 x ∣ = 39

x, g = ∣ x ∣ + k