What is the answer to |3f+0.5|-1=7 ?

The answer to |3f+0.5|-1=7 is f=-2.83333…\lor f=2.5

Solve for f: |3f+0.5|-1=7

The solution is f=-2.83333…\lor f=2.5

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∣ 3 f + 0.5 ∣ - 1 = 7

f = - 2.83333 \dots or f = 2.5

Solution steps

∣ 3 f + 0.5 ∣ - 1 = 7

Move

1

to the right side

∣ 3 f + 0.5 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 f + 0.5 = - 8 or 3 f + 0.5 = 8

3 f + 0.5 = - 8 or 3 f + 0.5 = 8

f = - 2.83333 \dots or f = 2.5

∣ 2 x + 5 ∣ = x - 4

2 ∣ 4 - m ∣ = - 3 m

∣ 5 x + 10 ∣ = 15

∣ x - 7 ∣ = 0

∣ 3 x - 4 ∣ = - 1

What is the answer to |3f+0.5|-1=7 ?
The answer to |3f+0.5|-1=7 is f=-2.83333…\lor f=2.5
Solve for f: |3f+0.5|-1=7
The solution is f=-2.83333…\lor f=2.5