What is the answer to |4n-7|=7 ?

The answer to |4n-7|=7 is n=0\lor n= 7/2

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|4n-7|=7

∣ 4 n - 7 ∣ = 7

n = 0 or n = \frac{7}{2}

Decimal

n = 0, n = 3.5

Solution steps

∣ 4 n - 7 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n - 7 = - 7 or 4 n - 7 = 7

4 n - 7 = - 7 or 4 n - 7 = 7

n = 0 or n = \frac{7}{2}

∣ u - 6 ∣ + 7 = 71

∣ 4 - 3 w ∣ = ∣ 3 w - 5 ∣

- 9 ∣ 10 p - 5 ∣ = - 45

3 ∣ 2 x + 1 ∣ - 3 = 9

∣ x + 4 ∣ + ∣ x - 2 ∣ = 1