What is -2<(5-6x)/2 <= 4 ?

The solution to -2<(5-6x)/2 <= 4 is -1/2 <= x< 3/2

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-2<(5-6x)/2 <= 4

- 2 < \frac{5 - 6 x}{2} \leq 4

- \frac{1}{2} \leq x < \frac{3}{2}

Interval Notation

[- \frac{1}{2}, \frac{3}{2})

Decimal Notation

- 0.5 \leq x < 1.5

Solution steps

- 2 < \frac{5 - 6 x}{2} \leq 4

a < u \leq b

then

a < u and u \leq b

- 2 < \frac{5 - 6 x}{2} and \frac{5 - 6 x}{2} \leq 4

- 2 < \frac{5 - 6 x}{2} : x < \frac{3}{2}

\frac{5 - 6 x}{2} \leq 4 : x \geq - \frac{1}{2}

Combine the intervals

x < \frac{3}{2} and x \geq - \frac{1}{2}

Merge Overlapping Intervals

- \frac{1}{2} \leq x < \frac{3}{2}

\frac{15 x ^{3} y ^{5}}{2 x y} \cdot \frac{6 x y ^{3}}{9 x ^{4} y}

4 v = 28

5 x^{2} + 3 x - 8 = 0

\frac{x}{8} + \frac{x}{3} = \frac{3}{16}

125 y^{3} - 8 x^{3}