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

The answer to |a+4|=a+7 is a=-11/2

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|a+4|=a+7

∣ a + 4 ∣ = a + 7

a = - \frac{11}{2}

Decimal Notation

a = - 5.5

Solution steps

∣ a + 4 ∣ = a + 7

Find positive and negative intervals

a < - 4, a \geq - 4

Solve the inequality for each interval

a = - \frac{11}{2} or No Solution

a = - \frac{11}{2}

2 ∣ x - 5 ∣ = 14

∣ - 9 x ∣ = 81

∣ 2 x ∣ + 19 = 13

∣ 3 x - 1 ∣ + 5 = 1

4 = ∣ 4 c ∣