What is -1<= (4x-6)/(-3)<= 0 ?

The solution to -1<= (4x-6)/(-3)<= 0 is 3/2 <= x<= 9/4

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-1<= (4x-6)/(-3)<= 0

- 1 \leq \frac{4 x - 6}{- 3} \leq 0

\frac{3}{2} \leq x \leq \frac{9}{4}

Interval Notation

[\frac{3}{2}, \frac{9}{4}]

Decimal Notation

1.5 \leq x \leq 2.25

Solution steps

- 1 \leq \frac{4 x - 6}{- 3} \leq 0

a \leq u \leq b

then

a \leq u and u \leq b

- 1 \leq \frac{4 x - 6}{- 3} and \frac{4 x - 6}{- 3} \leq 0

- 1 \leq \frac{4 x - 6}{- 3} : x \leq \frac{9}{4}

\frac{4 x - 6}{- 3} \leq 0 : x \geq \frac{3}{2}

Combine the intervals

x \leq \frac{9}{4} and x \geq \frac{3}{2}

Merge Overlapping Intervals

\frac{3}{2} \leq x \leq \frac{9}{4}

x^{3} + 4 x^{2} - 8

\frac{6}{5 - 10}

5 p < - 25

15 - 2 x^{2} = 9

x^{2} - x + 4 = 0

What is -1<= (4x-6)/(-3)<= 0 ?
The solution to -1<= (4x-6)/(-3)<= 0 is 3/2 <= x<= 9/4