3) Solve the inequality: c + 9 − 3(c − 10) > 1

Answer 1

To solve the inequality, we need to simplify the expression and then isolate the variable c.

First, distribute -3 to both terms inside the parentheses:

c + 9 - 3c + 30 > 1

Combine like terms:

-2c + 39 > 1

Next, subtract 39 from both sides to isolate the -2c term:

-2c > 1 - 39

-2c > -38

Finally, divide both sides by -2. Remember to flip the inequality sign when dividing by a negative number:

c < -38 / -2

c < 19

Therefore, the solution to the inequality is c < 19.