Question

Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2

A. (2,-5)
B. (-2,5)
C. (2,5)
D. (-2,-5)

Answer 1

Let us check with the points (2,-5) if they satisfy the inequalities.
-3(2)+3=-6+3=-3
-3>-5
so this is nt a solution.
let us check with the points (-2,5)
-3(-2)+3=6+3=9
9>5
this too is nt a solution.
let us chck with (2,5)
-3(2)+3=-6+3=-3
5>-3
First inequality is satisfied.
Let us see if it satisfies the second inequality too.
2+2=4
5>4
therefore (2,5) is the solution.