Question

Which of the following is a solution to this inequality? y greater than one half times x plus 2 (1, 4) (−1, 1) (2, 3) (0, 2)

Answer 1

Which of the following is a solution to this inequality?

y greater than one half times x plus 2

Answer:

A) (1,4)

(took the quiz)

Answer 2

Answer:

(1, 4)

Step-by-step explanation:

Lets show first the inequality. Putting in numbers what greater than one half times x plus 2 means is:

y > (1/2)x + 2

The procedure is simple: take the points and replace them in the inequality to see which verifies.

(1, 4):

4 > (1/2)*1 + 2

4> 1/2+ 2

4 > 1/2 + 4/2

4> 5/2

8/2> 5/2 ---> I verifies!!!

(-1, 1)

1 > (1/2)(-1) + 2

1> -1/2 + 2

1 > -1/2 + 4/2

1 > 3/2 ---> Not verify!!

(2, 3):

2 > (1/2)*2 + 2

2 > 1 + 2

2 > 3 ---> Not verify!!!

(0, 2)

2 > (1/2)*0 + 2

2 > 2 ---> Not verify!!!

So, the only pair that verifies is (1, 4)