To solve the inequality -4(c+2) < 12, follow these steps:
1. Distribute the -4 across the parentheses:
-4 * c + -4 * 2 < 12
2. Simplify the terms:
-4c - 8 < 12
3. To isolate the variable c, you'll want to get rid of the -8 on the left side. Do this by adding 8 to both sides of the inequality:
-4c - 8 + 8 < 12 + 8
-4c < 20
4. Now, divide both sides by -4 to solve for c. Remember, when you divide or multiply both sides of an inequality by a negative number, you have to reverse the inequality sign:
-4c / -4 > 20 / -4
c > -5
So, the solution to the inequality is c > -5.
