Question

HELPPP MEEEEEEE!!!!!!!! plz

Which ordered pairs are solutions to the inequality 2x+3y≥−1 ?

Select each correct answer.


(2, −1)

(−6, 0)

(−2, 1)

(0, 1)

(0, −1)

Answer 1

(2,-1)

(-2,1)

(0,1)

Explanation:

Let's plug in the points given and see which satisfy it (make it true).

2x+3y>=-1

Test (2,-1)

2(2)+3(-1)>=-1

4 + (-3)>=-1

1>=-1 This is true 1 is greater than -1 so (2,-1) works!

Test (-6,0)

2(-6)+3(0)>=-1

-12 + 0 >=-1

-12 >=-1 This is not true. -12 is not greater than -1.

Test (-2,1)

2(-2)+3(1)>=-1

-4 + 3 >=-1

-1 >=-1 This is true. -1 does equal -1.

Test (0,1)

2(0)+3(1)>=-1

0 + 3 >=-1

3>=-1 This is true. 3 is greater than -1.

Test (0,-1)

2(0)+3(-1)>=-1

0 + (-3)>=-1

-3>=-1 This is false. -3 is not greater than -1.