What is -2<= (4x-1)/3 <= 5 ?

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

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-2<= (4x-1)/3 <= 5

- 2 \leq \frac{4 x - 1}{3} \leq 5

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

Interval Notation

[- \frac{5}{4}, 4]

Decimal Notation

- 1.25 \leq x \leq 4

Solution steps

- 2 \leq \frac{4 x - 1}{3} \leq 5

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq \frac{4 x - 1}{3} and \frac{4 x - 1}{3} \leq 5

- 2 \leq \frac{4 x - 1}{3} : x \geq - \frac{5}{4}

\frac{4 x - 1}{3} \leq 5 : x \leq 4

Combine the intervals

x \geq - \frac{5}{4} and x \leq 4

Merge Overlapping Intervals

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

x^{2} + 6 x = 216

x^{2} + x - 1 \leq 5

- 1 + \frac{4}{3}

- \frac{1}{5} \cdot 1

3 \leq - 6 - 5 x < 12

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