Question

Based on the graph, which inequality is correct for a number that is to the right of -3?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.

a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6

Answer 1

The inequality

• 
  `4\:>\:-3`

4 can is always greater than -3, so
`4\:>\:-3` is also correct.

Therefore, option 'a' is correct.

Explanation:

Given the inequality

• 
  `-3\:>\:4`

-3 can not be greater than 4, so
`-3\:>\:4` is also incorrect.

Given the inequality

• 
  `-2\:<\:-3`

-2 can not be lesser than -3, so
`-2\:<\:-3` is also incorrect.

Given the inequality

• 
  `-3\:<\:-6`

-3 can not be lesser than -6, so
`-3\:<\:-6` is also incorrect.

Given the inequality

• 
  `4\:>\:-3`

4 can is always greater than -3, so
`4\:>\:-3` is also correct.

Therefore, option 'a' is correct.