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

The answer to |3p-4|=|-p| is p=1\lor p=2

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|3p-4|=|-p|

∣ 3 p - 4 ∣ = ∣ - p ∣

p = 1 or p = 2

Solution steps

∣ 3 p - 4 ∣ = ∣ - p ∣

Find positive and negative intervals

p \leq 0, 0 < p < \frac{4}{3}, p \geq \frac{4}{3}

Solve the inequality for each interval

No Solution or p = 1 or p = 2

p = 1 or p = 2

1 - ∣ x ∣ - ∣ y ∣ = 1

- ∣ x - 8 ∣ = 5

∣ x - 6 ∣ - ∣ x - 3 ∣ = ∣ x - 1 ∣

3 ∣ 2 x + 6 ∣ + 1 = 19

x, 3 ∣ z - 1 ∣ = ∣ 9 - x ∣