Question

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

y less than or greater to x - 5
y greater than or equal to -x - 4

Answer 1

Provide us with the points...

Answer 2

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 3

Alright...so you have some points...in the form

(x , y)

and you have 2 equations

y <= x - 5
y >= -x - 4

So what you would do...is plug in those numbers you have

(x , y) in for both 'x' and 'y' in your equations...and see which on works out...here I'll do the first choice for an example...

Answer 4

Alright

Answer 5

the point (-5 , 2)

the equations

y <= x - 5
y >= -x - 4

after plugging in our point we have...we have the 2 equations that look like

2 <= -5 - 5
2 >= -(-5) - 4

lets see if they work

2 <= -10 *is 2 less than or equal to -10? no we already know this choice will not work
2 >= 1 *is 2 greater than or equal to 1? yes...but look above...the other one doesn't work so this choice is NOT the answer

Answer 6

And you would do this same process with the other choices you have...

Answer 7

Okay great. Thanks a million hun