What is 5x-2/5 <= 2-(7x)/2 <3 ?

The solution to 5x-2/5 <= 2-(7x)/2 <3 is -2/7 <x<= 24/85

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5x-2/5 <= 2-(7x)/2 <3

5 x - \frac{2}{5} \leq 2 - \frac{7 x}{2} < 3

- \frac{2}{7} < x \leq \frac{24}{85}

Interval Notation

(- \frac{2}{7}, \frac{24}{85}]

Decimal Notation

- 0.28571 \dots < x \leq 0.28235 \dots

Solution steps

5 x - \frac{2}{5} \leq 2 - \frac{7 x}{2} < 3

a \leq u < b

then

a \leq u and u < b

5 x - \frac{2}{5} \leq 2 - \frac{7 x}{2} and 2 - \frac{7 x}{2} < 3

5 x - \frac{2}{5} \leq 2 - \frac{7 x}{2} : x \leq \frac{24}{85}

2 - \frac{7 x}{2} < 3 : x > - \frac{2}{7}

Combine the intervals

x \leq \frac{24}{85} and x > - \frac{2}{7}

Merge Overlapping Intervals

- \frac{2}{7} < x \leq \frac{24}{85}

18 x^{2} y^{3} - 9 x^{2}

- \frac{1}{2} x \leq 17

\frac{8 ^{2} - 2 ( 4 )}{8}

5 x (x - 3) - (x - 1)^{2} = 2 x

What is 5x-2/5 <= 2-(7x)/2 <3 ?
The solution to 5x-2/5 <= 2-(7x)/2 <3 is -2/7 <x<= 24/85