What is -5<= ((2-3x))/4 <= 9 ?

The solution to -5<= ((2-3x))/4 <= 9 is -34/3 <= x<= 22/3

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-5<= ((2-3x))/4 <= 9

- 5 \leq \frac{( 2 - 3 x )}{4} \leq 9

- \frac{34}{3} \leq x \leq \frac{22}{3}

Interval Notation

[- \frac{34}{3}, \frac{22}{3}]

Decimal Notation

- 11.33333 \dots \leq x \leq 7.33333 \dots

Solution steps

- 5 \leq \frac{( 2 - 3 x )}{4} \leq 9

a \leq u \leq b

then

a \leq u and u \leq b

- 5 \leq \frac{( 2 - 3 x )}{4} and \frac{( 2 - 3 x )}{4} \leq 9

- 5 \leq \frac{2 - 3 x}{4} : x \leq \frac{22}{3}

\frac{2 - 3 x}{4} \leq 9 : x \geq - \frac{34}{3}

Combine the intervals

x \leq \frac{22}{3} and x \geq - \frac{34}{3}

Merge Overlapping Intervals

- \frac{34}{3} \leq x \leq \frac{22}{3}

2 < ∣ 2 x - 6 ∣ < 6

0 < t < 4

3 x - 5 < 26 < 4 x - 6

0 < ∣ x - 1 ∣ < 3

- 4 \leq \frac{( 3 - x )}{2} < 1

What is -5<= ((2-3x))/4 <= 9 ?
The solution to -5<= ((2-3x))/4 <= 9 is -34/3 <= x<= 22/3