I only
II only
I and II only
I and III only
Explanation
Correct answer: C.
Choice C is correct. Substituting into the inequality gives , or , which is a true statement. Substituting into the inequality gives , or , which is a true statement. Substituting into the inequality gives , or , which is not a true statement. Therefore, and are the only ordered pairs shown that satisfy the given inequality.
Desmos solution:
Note: Graph the inequality given and test the points to see which ordered pairs satisfy the inequality.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect because the ordered pair also satisfies the inequality.
Choice B
Choice B is incorrect because the ordered pair also satisfies the inequality.
Choice D
Choice D is incorrect because the ordered pair does not satisfy the inequality.
Student discussion
jarvis 0 likes
Note: Test the listed ordered pairs in the inequality; the first two outputs are less than 4, but the third is not.