What is the answer to |2k-1|=k ?

The answer to |2k-1|=k is k= 1/3 \lor k=1

Solve for k: |2k-1|=k

The solution is k= 1/3 \lor k=1

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∣ 2 k - 1 ∣ = k

k = \frac{1}{3} or k = 1

Decimal Notation

k = 0.33333 \dots, k = 1

Solution steps

∣ 2 k - 1 ∣ = k

Find positive and negative intervals

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

Solve the inequality for each interval

k = \frac{1}{3} or k = 1

10 - ∣ 5 x ∣ = 4

15 = 2 - ∣ z + 4 ∣

8 - 8 \frac{a}{8} = - 1

4 ∣ 5 x - 2 ∣ - 10 = 42

3 - 5 ∣ - 7 x - 6 ∣ = 48