Question

Which of the following points lie in the solution set to the following system of inequalities?y
x <= - 5y
-x >= - 4


(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 1

which point makes BOTH inequalities true?

Answer 2

Sorry the inequalities are written wrong

Answer 3

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

Answer 4

which point makes BOTH inequalities true

Answer 5

does (-5, 2) make them both true?

Answer 6

How do you figure out if it makes them true? Sorry, I'm new at this

Answer 7

the point we're checking is (-5, 2)

so x = -5 and y = 2

Answer 8

Ahh ok

Answer 9

you then replace every x with -5 and every y with 2

and simplify

Answer 10

That makes sense, hang on a sec let me see if I can figure it out now :)

Answer 11

alright

Answer 12

(-5, 2) is not correct, Am I right?

Answer 13

yes you are

Answer 14

Is it (5, -2)?

Answer 15

you nailed it, (5,-2) is the only solution

Answer 16

Thank you so much for teaching me that! You are one of the best people on here! :)

Answer 17

you're welcome