Question

Which best describes the solutions to the inequality x>10?

(A)10 and every whole number greater than 10

(B)a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10

(C)11 and every whole number greater than 11

(D)a rational number infinitely close to 10 but greater than 10, and all other whole numbers greater than 10

Answer 1

It can be B or C (B is closer to being correct); neither are worded perfectly correct. Definitely not A or C.

Explanation:

I am a math teacher and whoever created this question didn't cover everything.

The answer is all numbers greater than 10, not just rational (irrational should also be included) and not just whole numbers (fractions and decimals should be included).

Answer 2

(B)a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10

Explanation:

x> 10 means all numbers greater than 10

(A)10 and every whole number greater than 10

False, does not include 10

(B)a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10

True

(C)11 and every whole number greater than 11

False, it only included integers. 10.5 is a solution but not included here

(D)a rational number infinitely close to 10 but greater than 10, and all other whole numbers greater than 10

False, it only included whole numbers. 10.5 is a solution but not included here

The answer should really be real numbers, not rational numbers.

Irrational numbers can be solutions. But given the choices given, B is the best solution.