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

i do not know how to solve these type of equations.

Answer 2

5, -2

Answer 3

but how do you solve it and thank you

Answer 4

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 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 option B

Answer 5

thank you

Answer 6

np

Answer 7

next time just type it up on google.