What is -4<(2-5x)/3 <= 2 ?

The solution to -4<(2-5x)/3 <= 2 is -4/5 <= x< 14/5

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-4<(2-5x)/3 <= 2

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

- \frac{4}{5} \leq x < \frac{14}{5}

Interval Notation

[- \frac{4}{5}, \frac{14}{5})

Decimal Notation

- 0.8 \leq x < 2.8

Solution steps

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

a < u \leq b

then

a < u and u \leq b

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

- 4 < \frac{2 - 5 x}{3} : x < \frac{14}{5}

\frac{2 - 5 x}{3} \leq 2 : x \geq - \frac{4}{5}

Combine the intervals

x < \frac{14}{5} and x \geq - \frac{4}{5}

Merge Overlapping Intervals

- \frac{4}{5} \leq x < \frac{14}{5}

2 p + 3 > 2 (p - 3)

2 b^{2} + 3 b + 1 = 0

- 7 x - 36 = 20 - 3 x

(16 x^{2} y^{4}) (\frac{1}{4} x^{5 y})

16 x^{7} - 81 x^{3}