What is -12<4-3 x/(-5)<= 2 ?

The solution to -12<4-3 x/(-5)<= 2 is -80/3 <x<=-10/3

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-12<4-3 x/(-5)<= 2

- 12 < 4 - 3 \frac{x}{- 5} \leq 2

- \frac{80}{3} < x \leq - \frac{10}{3}

Interval Notation

(- \frac{80}{3}, - \frac{10}{3}]

Decimal Notation

- 26.66666 \dots < x \leq - 3.33333 \dots

Solution steps

- 12 < 4 - 3 \cdot \frac{x}{- 5} \leq 2

a < u \leq b

then

a < u and u \leq b

- 12 < 4 - 3 \cdot \frac{x}{- 5} and 4 - 3 \cdot \frac{x}{- 5} \leq 2

- 12 < 4 - 3 \cdot \frac{x}{- 5} : x > - \frac{80}{3}

4 - 3 \cdot \frac{x}{- 5} \leq 2 : x \leq - \frac{10}{3}

Combine the intervals

x > - \frac{80}{3} and x \leq - \frac{10}{3}

Merge Overlapping Intervals

- \frac{80}{3} < x \leq - \frac{10}{3}

44 < x < 45

25 < x < 35

5 x - 1 < (x + 1)^{2} < 7 x - 3

- 1 < - \frac{1}{m} < 1

2 y - 1 < 9 < 4 y - 3

What is -12<4-3 x/(-5)<= 2 ?
The solution to -12<4-3 x/(-5)<= 2 is -80/3 <x<=-10/3