What is |-x/3+2/3 |+3<= x ?

The solution to |-x/3+2/3 |+3 = 7/2

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|-x/3+2/3 |+3<= x

- \frac{x}{3} + \frac{2}{3} + 3 \leq x

x \geq \frac{7}{2}

Solution steps

- \frac{x}{3} + \frac{2}{3} + 3 \leq x

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

No Solution or x \geq \frac{7}{2}

Merge Overlapping Intervals

x \geq \frac{7}{2}

7 x - 33 = - 103

3 w - 5 < 2

2 x^{2} - 5 x - 7

15 x^{2} + x - 2

x + 6 = x^{2} + 2 x