Answer:

c. (6, 6)

Step-by-step explanation:

1.) Plug each of the corresponding values into each variable.

2A.) Plug in

2B.) Plug it in the first inequality:

⇒

⇒

⇒

⇒

That's true.

2C.) Plug it in the second inequality:

⇒

⇒

⇒

⇒

That's false. So Option A isn't the answer because, even though the first inequality is true, the second one isn't, and in the correct choice, BOTH must be true.

3A.) Plug in

3B.) Plug it in the first inequality:

⇒

⇒

⇒

⇒

That's false. So there is no use to plug it in the second inequality. Even if it were true if we substituted it in the second inequality, it would not be the correct choice because it must give a true inequality when replaced in EITHER one!

4A.) Plug in

4B.) Plug it in the first inequality:

⇒

⇒

⇒

⇒

That's true.

4C.) Plug it in the second inequality:

⇒

⇒

⇒

⇒

That's true. So Option C is the correct answer. The problem merely states, "Which of the following ordered pairs satisfy both and ?" It doesn't say, "Which ONE of the following ordered pairs satisfy both and ?" So we have to see if Option D is correspondingly a correct answer as well:

5A.) Plug in

5B.) Plug it in the first inequality:

⇒

⇒

⇒

⇒

That's false. So now we know that there is only one correct answer, Option C.

I hope this helps you understand this concept in Mathematics.

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