Question

Which of the following inequalities are correct?

A - 2/3 < - 1/3
B. 0 > - 2/3
C. - 1/3 < -2/3

Answer 1

`\text{In order for an inequality to be correct, the inequality has to be TRUE}\\\\\text{When we look at answer choice A, we see that -2/3 is less than -1/3}\\\text{This is true because -1/3 is closer to 0 on the number line, making it bigger}\\\text{than -2/3}\\\\\text{When we look at answer choice B, 0 is greater than -2/3. This is true}\\\text{because 0 is bigger than -2/3, since -2/3 is on the negative side}\\\\\text{When you look at answer choice C, -1/3 is less than -2/3. This is not}\\`

`\text{true because -2/3 is not bigger than -1/3, since -1/3 is closer to 0.}\\\\\text{Therefore, answer choices A and B should be correct}`