Question

Question 9(Multiple Choice Worth 4 points)

(05.05 MC)
Which of the following is a solution to this inequality?
y>3/5x-2
O (5,0)
0 (0, -2)
O (1, 1)
O(-5, -6)

Answer 1

Hi! In order to determine which answer is correct, remember that if an ordered pair is a solution of the inequality, then the ordered pair will satisfy the inequality. Let's plug each of these ordered pairs into the inequality.

A. 5, 0

Substitute 5 and 0 for x and y.

`0 > (3)/(5) (5) - 2`

0 > 1 is not true. Therefore, A is NOT correct.

B. 0, -2

Substitute 0 and -2 for x and y.

`-2 > (3)/(5) (0) -2`

-2 > -2 is not true. Therefore, B is NOT correct.

C. 1, 1

Substitute 1 and 1 for x and y.

`1 > (3)/(5) (1) - 2`

1 >
`-(7)/(5)` is true. Therefore, C. 1, 1 is CORRECT.

D. -5, -6

Substitute -5 and -6 for x and y.

`-6 > (3)/(5) (-5) - 2`

-6 > -5 is not true. Therefore, D is NOT correct.

Hope this helps!