Question 20398
It's easy to find out if the point (-5, 2) satisfies the given inequality.
Just substitute the x- and y-coordinates from the given point into the inequaltity.

{{{3x - 5y < 15}}} and {{{3x + 2y < 12}}} Both conditions must be true for the inequality to be satisfied. Substitute the x and y from the given point.
{{{3(-5) - 5(2) < 15}}}?
{{{-15 - 10 < 15}}}?
{{{-25 < 15}}} TRUE!

{{{3(-5) + 2(2) < 12}}}?
{{{-15 + 4 < 12}}}?
{{{-11 < 12}}} TRUE!

Since both conditions of the compound inequality have been met, the inequality is satisfied by the given pont.