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}

Interval Notation

[\frac{7}{2}, \infty)

Decimal Notation

x \geq 3.5

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}

4 x^{2} + x + 2 = 0

(x + 1) (x - 2) (x - 3) \leq 0

4 x^{2} + 20 x = - 21

4 x^{2} + x = 0

- 8 < - 2 z + 4 < 10