What is -pi/2 < 1/3 x< pi/2 ?

The solution to -pi/2 < 1/3 x< pi/2 is -(3pi)/2 <x<(3pi)/2

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-pi/2 < 1/3 x< pi/2

- \frac{π}{2} < \frac{1}{3} x < \frac{π}{2}

- \frac{3 π}{2} < x < \frac{3 π}{2}

Interval Notation

(- \frac{3 π}{2}, \frac{3 π}{2})

Decimal Notation

- 4.71238 \dots < x < 4.71238 \dots

Solution steps

- \frac{π}{2} < \frac{1}{3} x < \frac{π}{2}

a < u < b

then

a < u and u < b

- \frac{π}{2} < \frac{1}{3} x and \frac{1}{3} x < \frac{π}{2}

- \frac{π}{2} < \frac{1}{3} x : x > - \frac{3 π}{2}

\frac{1}{3} x < \frac{π}{2} : x < \frac{3 π}{2}

Combine the intervals

x > - \frac{3 π}{2} and x < \frac{3 π}{2}

Merge Overlapping Intervals

- \frac{3 π}{2} < x < \frac{3 π}{2}

- \frac{40}{( 4 ( 4 ) - 5 ) ^{2}}

7 2^{2}

3 w^{2} + 24 w = 0

(2 x^{2} y)^{2}

3 x^{2} + 4 x = 6

What is -pi/2 < 1/3 x< pi/2 ?
The solution to -pi/2 < 1/3 x< pi/2 is -(3pi)/2 <x<(3pi)/2