What is -pi/2 <x-pi/4 < pi/2 ?

The solution to -pi/2 <x-pi/4 < pi/2 is -pi/4 <x<(3pi)/4

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-pi/2 <x-pi/4 < pi/2

- \frac{π}{2} < x - \frac{π}{4} < \frac{π}{2}

- \frac{π}{4} < x < \frac{3 π}{4}

Interval Notation

(- \frac{π}{4}, \frac{3 π}{4})

Decimal Notation

- 0.78539 \dots < x < 2.35619 \dots

Solution steps

- \frac{π}{2} < x - \frac{π}{4} < \frac{π}{2}

a < u < b

then

a < u and u < b

- \frac{π}{2} < x - \frac{π}{4} and x - \frac{π}{4} < \frac{π}{2}

- \frac{π}{2} < x - \frac{π}{4} : x > - \frac{π}{4}

x - \frac{π}{4} < \frac{π}{2} : x < \frac{3 π}{4}

Combine the intervals

x > - \frac{π}{4} and x < \frac{3 π}{4}

Merge Overlapping Intervals

- \frac{π}{4} < x < \frac{3 π}{4}

\frac{x - 4 y}{5 x} - \frac{4 x}{3 x}

\frac{\frac{5}{6}}{4}

5 m^{2} + 7 m + 2

(\frac{9}{14})^{4}

7 + 4 a = 7 a - (8 - 4 a)

What is -pi/2 <x-pi/4 < pi/2 ?
The solution to -pi/2 <x-pi/4 < pi/2 is -pi/4 <x<(3pi)/4