What is -6<= (1-4x)/6 <20 ?

The solution to -6<= (1-4x)/6 <20 is -119/4 <x<= 37/4

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-6<= (1-4x)/6 <20

- 6 \leq \frac{1 - 4 x}{6} < 20

- \frac{119}{4} < x \leq \frac{37}{4}

Solution steps

- 6 \leq \frac{1 - 4 x}{6} < 20

a \leq u < b

then

a \leq u and u < b

- 6 \leq \frac{1 - 4 x}{6} and \frac{1 - 4 x}{6} < 20

- 6 \leq \frac{1 - 4 x}{6} : x \leq \frac{37}{4}

\frac{1 - 4 x}{6} < 20 : x > - \frac{119}{4}

Combine the intervals

x \leq \frac{37}{4} and x > - \frac{119}{4}

Merge Overlapping Intervals

- \frac{119}{4} < x \leq \frac{37}{4}

2 + 2 x - x^{2} = 0

8 a^{2} - 18 b^{2}

x^{2} + (10 - x)^{2} < 52

1 0^{\frac{1}{3}} \cdot 10 0^{\frac{1}{3}}

1 - \frac{8}{5}

What is -6<= (1-4x)/6 <20 ?
The solution to -6<= (1-4x)/6 <20 is -119/4 <x<= 37/4