What is the answer to 7-4|a+1|=3 ?

The answer to 7-4|a+1|=3 is a=-2\lor a=0

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7-4|a+1|=3

7 - 4 ∣ a + 1 ∣ = 3

a = - 2 or a = 0

Solution steps

7 - 4 ∣ a + 1 ∣ = 3

Move

7

to the right side

- 4 ∣ a + 1 ∣ = - 4

Divide both sides by

- 4

∣ a + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

a + 1 = - 1 or a + 1 = 1

a + 1 = - 1 or a + 1 = 1

a = - 2 or a = 0

1 - \frac{x}{2} = 1

∣ x - 25 ∣ = 3

3 ∣ x - 4 ∣ + 2 = 11

∣ q ∣ = - 6

∣ r - 3 ∣ + 5 = 8