What is the answer to 4=|d-3| ?

The answer to 4=|d-3| is d=-1\lor d=7

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4=|d-3|

4 = ∣ d - 3 ∣

d = - 1 or d = 7

Solution steps

4 = ∣ d - 3 ∣

Switch sides

∣ d - 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

d - 3 = - 4 or d - 3 = 4

d - 3 = - 4 or d - 3 = 4

d = - 1 or d = 7

∣ x + 4 ∣ = - x + 8

\frac{1}{2} ∣ x - 4 ∣ = 6

∣ - 4 z - 6 ∣ = 6

5 = - 8 ∣ v ∣ - 7

∣ 3 - x ∣ = 7