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

The inequality

4 can is always greater than -3, so  is also correct.

Therefore, option 'a' is correct.

Step-by-step explanation:

Given the inequality

-3 can not be greater than 4, so is also incorrect.

Given the inequality

-2 can not be lesser than -3, so is also incorrect.

Given the inequality

-3 can not be lesser than -6, so  is also incorrect.

Given the inequality

4 can is always greater than -3, so  is also correct.

Therefore, option 'a' is correct.

a negative exponent is translated as follows:

so, we have