Question

The number represents points why, x and y on the number line are integers. under which of the following conditions could the expression, x>2, be true? select all that apply.

Answer 1

Given the number line with points w, x and y.

We can simulate each answer option in order to help us determine the correct answer(s).

A:

From this number line, the value of x (which is towards the right of w) is greater than 2. Hence option A is CORRECT.

B:

In this case, the value of x is also greater than -1, and its moving towards 4. It can be assumed that x is greater than 2 because its greater than -1 and lies somewhere between -1 and 4. The number 2 is among the possible values in this range, hence option B is also CORRECT.

C:

In this number line y is equal to 2 and definitely greater than the value of x which lies somewhere between 0 and 2. Therefore, option C is NOT CORRECT.

D:

The value of x is less than 0, which is definitely not up to 2. Therefore option D is NOT CORRECT.

E:

The value of x in this number line is less than -1 (since its moving to the left side of y). Therefore option E is also NOT CORRECT.

The correct answers therefore are options A and B