Question

Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3
y < x + 2

(1, -5)

(1, 5)

(5, 1)

(-1, 5)

Answer 1

substitute each point and check
a)5,2
in
y<=x-5
2<=5-5 => 2<=0 this is not true
so this is not the answer
b) 5,-2
in -2<=5-5
-2<=5-5
-2<=0
this is true
let's check with the other inequality
y>=-x-4
-2>=-5-4
true
so option B is one of the answers
c)
(-5,-2)
y<=x-5
-2<=-5-5
-2<=-10
false
d)(-5,2)
2<=-5-5
2<=-10
this is also not true
SO the answer is B

Answer 2

Thank you!!

Answer 3

welcome