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

The solution to -1/5 <= 3x-1/4 <= 1/3 is 1/60 <= x<= 7/36

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-1/5 <= 3x-1/4 <= 1/3

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

\frac{1}{60} \leq x \leq \frac{7}{36}

Interval Notation

[\frac{1}{60}, \frac{7}{36}]

Decimal Notation

0.01666 \dots \leq x \leq 0.19444 \dots

Solution steps

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

a \leq u \leq b

then

a \leq u and u \leq b

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

- \frac{1}{5} \leq 3 x - \frac{1}{4} : x \geq \frac{1}{60}

3 x - \frac{1}{4} \leq \frac{1}{3} : x \leq \frac{7}{36}

Combine the intervals

x \geq \frac{1}{60} and x \leq \frac{7}{36}

Merge Overlapping Intervals

\frac{1}{60} \leq x \leq \frac{7}{36}

\frac{2}{3} (x - 6) = 6

\frac{a ^{5}}{- a ^{3}}

x^{2} - 2 ∣ x ∣ - 3 = 0

2 x + 1 = 0

- \frac{1}{4} (d + 1) < 2

What is -1/5 <= 3x-1/4 <= 1/3 ?
The solution to -1/5 <= 3x-1/4 <= 1/3 is 1/60 <= x<= 7/36