What is the answer to |4f+1|=7 ?

The answer to |4f+1|=7 is f=-2\lor f= 3/2

Solve for f: |4f+1|=7

The solution is f=-2\lor f= 3/2

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∣ 4 f + 1 ∣ = 7

f = - 2 or f = \frac{3}{2}

Decimal Notation

f = - 2, f = 1.5

Solution steps

∣ 4 f + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 f + 1 = - 7 or 4 f + 1 = 7

4 f + 1 = - 7 or 4 f + 1 = 7

f = - 2 or f = \frac{3}{2}

∣ 2 x - 6 ∣ = - 11

∣ x - 3 ∣ + 7 = 6

∣ 2 p + 5 ∣ = 11

x^{2} - 1 = 169

∣ w - 39 ∣ = 3