What is 2/3 x-5/3 <= 3x+1/3 <= 4x-7/3 ?

The solution to 2/3 x-5/3 = 8/3

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2/3 x-5/3 <= 3x+1/3 <= 4x-7/3

\frac{2}{3} x - \frac{5}{3} \leq 3 x + \frac{1}{3} \leq 4 x - \frac{7}{3}

x \geq \frac{8}{3}

Interval Notation

[\frac{8}{3}, \infty)

Decimal Notation

x \geq 2.66666 \dots

Solution steps

\frac{2}{3} x - \frac{5}{3} \leq 3 x + \frac{1}{3} \leq 4 x - \frac{7}{3}

a \leq u \leq b

then

a \leq u and u \leq b

\frac{2}{3} x - \frac{5}{3} \leq 3 x + \frac{1}{3} and 3 x + \frac{1}{3} \leq 4 x - \frac{7}{3}

\frac{2}{3} x - \frac{5}{3} \leq 3 x + \frac{1}{3} : x \geq - \frac{6}{7}

3 x + \frac{1}{3} \leq 4 x - \frac{7}{3} : x \geq \frac{8}{3}

Combine the intervals

x \geq - \frac{6}{7} and x \geq \frac{8}{3}

Merge Overlapping Intervals

x \geq \frac{8}{3}

- 8.31 \geq - 2 - f

\frac{16 x}{4 x ^{2} y}

592

x^{3} + x^{2} + 2 x + 2

\frac{49 m ^{4} n - 21 m ^{6} n ^{2}}{7 m ^{2} n ^{4}}

What is 2/3 x-5/3 <= 3x+1/3 <= 4x-7/3 ?
The solution to 2/3 x-5/3 <= 3x+1/3 <= 4x-7/3 is x>= 8/3