Question

Which statement is the correct interpretation of the inequality −3 > −4? On a number line, −3 is located to the right of −4. On a number line, −3 is located to the left of −4. On a number line, −3 is located to the left of 0 and −4 is located to the right of 0. On a number line, −3 is located to the right of 0 and −4 is located to the left of 0.

Answer 1

Most number lines have left be negative and right be positive. Hence, -3, which is more positive than -4, would be to the right of -4.

Answer 2

The statement which is the correct interpretation of the inequality −3 > −4 is:

• On a number line, −3 is located to the right of −4.

Explanation:

We know that on the number line , the number which are to the right of 0 are positive numbers and to the left of 0 are the negative numbers.

For any number a,

The number located to the right of a is greater than a and which is located to the left of a is smaller than a.

We know that -3 is located to the right of -4.

and hence we have: -3>-4