20) Solve the inequality: c + 19 − 10(c − 2) > 0

Answer 1

To solve the inequality, we need to simplify the expression on the left side and isolate the variable c.

c + 19 - 10(c - 2) > 0

First, distribute the -10 to the terms inside the parentheses:

c + 19 - 10c + 20 > 0

Combine like terms:

-9c + 39 > 0

Subtract 39 from both sides:

-9c > -39

Now, divide both sides by -9. Remember to flip the inequality sign since we are dividing by a negative number:

c < 39/9

Simplify the right side:

c < 4.33

Therefore, the solution to the inequality is c < 4.33.