Respuesta :

Rearrange: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality : c-3-(6)>0 

The solution set to the inequality c - 3 > 9 is c ∈ (9, ∞) and the solution is shown in the number line.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality:

c – 3 > 6

Add 3 on both sides:

c - 3 + 3 > 6 + 3

c > 9

c ∈ (9, ∞)

As we know, the number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

On the number line, the right side of the curve shape represents the solution to the inequality.

Thus, the solution set to the inequality c - 3 > 9 is c ∈ (9, ∞) and the solution is shown in the number line.

Learn more about the inequality here:

brainly.com/question/19491153

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