What is -22<= 2x-1<= 1 ?

The solution to -22<= 2x-1<= 1 is -21/2 <= x<= 1

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-22<= 2x-1<= 1

- 22 \leq 2 x - 1 \leq 1

- \frac{21}{2} \leq x \leq 1

Interval Notation

[- \frac{21}{2}, 1]

Decimal Notation

- 10.5 \leq x \leq 1

Solution steps

- 22 \leq 2 x - 1 \leq 1

a \leq u \leq b

then

a \leq u and u \leq b

- 22 \leq 2 x - 1 and 2 x - 1 \leq 1

- 22 \leq 2 x - 1 : x \geq - \frac{21}{2}

2 x - 1 \leq 1 : x \leq 1

Combine the intervals

x \geq - \frac{21}{2} and x \leq 1

Merge Overlapping Intervals

- \frac{21}{2} \leq x \leq 1

\frac{7 π}{6} - π

(\frac{1}{10})^{2 x} > 12

4 x^{2} + 12 x + 2 = 0

\frac{4}{5} \cdot \frac{6}{7}

\frac{x}{- 3} < 4