Question

Solve the compound inequality 2x > –10 and 3x < 24.

Answer 1

For this case we have the following inequalities:

$2x> -10$ intersected with $3x$

So:

$2x> -10$

Dividing between 2 on both sides:

$x> - \frac {10} {2}\\x> -5$

The solution is given by all values of strict x greater than -5.

On the other hand we have:

$3x$

Dividing between 3 on both sides:

$x$

The solution is given by all values of x less strict to 8.

Intersecting the solutions we have:

$(-5,8)$

Answer:

$-5$