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

The solution to -1/2 <= (4*3x)/5 <= 1/4 is -5/24 <= x<= 5/48

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

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

- \frac{5}{24} \leq x \leq \frac{5}{48}

Interval Notation

[- \frac{5}{24}, \frac{5}{48}]

Decimal Notation

- 0.20833 \dots \leq x \leq 0.10416 \dots

Solution steps

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

a \leq u \leq b

then

a \leq u and u \leq b

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

- \frac{1}{2} \leq \frac{4 \cdot 3 x}{5} : x \geq - \frac{5}{24}

\frac{4 \cdot 3 x}{5} \leq \frac{1}{4} : x \leq \frac{5}{48}

Combine the intervals

x \geq - \frac{5}{24} and x \leq \frac{5}{48}

Merge Overlapping Intervals

- \frac{5}{24} \leq x \leq \frac{5}{48}

8 (\frac{1}{4}) - 1 + 0.5 (10)

\frac{10 !}{3 ! ( 10 - 3 ) !}

100 n^{2} - 10 = 15

4 (3 + x) = 36

5 x^{3} - 20 x^{2} + 3 x - 12

What is -1/2 <= (4*3x)/5 <= 1/4 ?
The solution to -1/2 <= (4*3x)/5 <= 1/4 is -5/24 <= x<= 5/48