What is the answer to |2j+3|=|j| ?

The answer to |2j+3|=|j| is j=-3\lor j=-1

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|2j+3|=|j|

∣ 2 j + 3 ∣ = ∣ j ∣

j = - 3 or j = - 1

Solution steps

∣ 2 j + 3 ∣ = ∣ j ∣

Find positive and negative intervals

j < - \frac{3}{2}, - \frac{3}{2} \leq j < 0, j \geq 0

Solve the inequality for each interval

j = - 3 or j = - 1 or No Solution

j = - 3 or j = - 1

∣ X - 3 ∣ = 24

∣ x - 1 ∣ + ∣ x + 1 ∣ = 1

5 ∣ 2 p - 4 (p + 5) ∣ = 25

7 - ∣ x - 4 ∣ = - 1

∣ 1 + 2 x ∣ = 9