Question

Solve for c.

|c- 2| >3
Write a compound inequality like 1 3. Use in tegers, proper
fractions, or improper fractions in simplest form.

Answer 1

To solve the inequality |c-2| > 3, we need to consider two cases:

c-2 > 3

c-2 < -3

For the first case, we add 2 to both sides of the inequality to get:

c > 5

For the second case, we add 2 to both sides of the inequality and multiply by -1 to get:

-c > -1

c < 1

Therefore, the solution to the inequality |c-2| > 3 is:

c < 1 or c > 5

This is a compound inequality that can be written as:

1 < c or c > 5

I hope this helps!