Question

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

y x - 5
y -x - 4

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 1

(5, -2)

Answer 2

thanks

Answer 3

do you think you ca explain how you got that?

Answer 4

i'm having trouble understanding it

Answer 5

@adrianajones

Answer 6

yes sure, okay so we have:

y x - 5
and
y -x - 4


let's substitute each point and check

a)5,2 in y<=x-5 2<=5-5 => 2<=0. Not true meaning it's not the answer.

b) 5,-2 in -2<=5-5 -2<=5-5 -2<=0. This is true.
y>=-x-4 -2>=-5-4. True

c) (-5,-2) y<=x-5 -2<=-5-5 -2<=-10. Not true meaning it's not the answer.

d)(-5,2) 2<=-5-5 2<=-10. Not true meaning it's not the answer.

Answer 7

hope you understand it now

Answer 8

thanks