Solve the compound inequality 2x > –10 and 3x < 24.
a) –5 < x < 8
b) 5 > x > –8
c) 5 > x < –8
d) –5 < x > 8

For this case we have the following inequalities:

intersected with

So:

Dividing between 2 on both sides:

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

On the other hand we have:

Dividing between 3 on both sides:

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

Intersecting the solutions we have:

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.

answer is c chief it always is