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

c

Answer 2

the points should satisfy both the equation simultaneously
let's check a
(2, -5)
y>-3x+3
-5>-6+3
-5>-3
this is not true so it doesn't satisfy the equations
Let's check b
-2, 5
5>6+3
this is also not true
let's check c
2,5
5>-6+3
5>-3
this is true so let's check for the other equation
y>x+2
5>2+2
so c is the answer
let's check d
-2,-5
-5>-2*-3+3
-5>9
so this is false
so our Answer is \[\large{C}\]