SOLUTION: Does the point (-5, 2) satisfy the following compound inequality and how? Can someone help me with? 3x – 5y < 15 and 3x + 2y < 12 Thank you in advance.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Does the point (-5, 2) satisfy the following compound inequality and how? Can someone help me with? 3x – 5y < 15 and 3x + 2y < 12 Thank you in advance.      Log On


   



Question 20398: Does the point (-5, 2) satisfy the following compound inequality and how? Can someone help me with?
3x – 5y < 15 and 3x + 2y < 12
Thank you in advance.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
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+%3C+15 and 3x+%2B+2y+%3C+12 Both conditions must be true for the inequality to be satisfied. Substitute the x and y from the given point.
3%28-5%29+-+5%282%29+%3C+15?
-15+-+10+%3C+15?
-25+%3C+15 TRUE!
3%28-5%29+%2B+2%282%29+%3C+12?
-15+%2B+4+%3C+12?
-11+%3C+12 TRUE!
Since both conditions of the compound inequality have been met, the inequality is satisfied by the given pont.