What is the answer to 2x-1+|2x-1|=0 ?

The answer to 2x-1+|2x-1|=0 is x<= 1/2

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2x-1+|2x-1|=0

2 x - 1 + ∣ 2 x - 1 ∣ = 0

x \leq \frac{1}{2}

Solution steps

2 x - 1 + ∣ 2 x - 1 ∣ = 0

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x < \frac{1}{2} or x = \frac{1}{2}

Merge Overlapping Intervals

x \leq \frac{1}{2}

4 \frac{x}{3} - 5 = 3

21 ∣ 5 - 12 x ∣ = 7

∣ c - x ∣ = 11

∣ c + 3 ∣ + 6 = 90

- 5 \frac{n}{3} = - 5