Solve the following inequality for cc. Write your answer in simplest form.

Question

2, c, minus, 10, is less than, 3, c, minus, 9
2c−10<
3c−9

Answer 1

To solve this inequality, we need to isolate the variable c on one side of the inequality.

Starting with 2c - 10 < 3c - 9, we can first move the c terms to one side by subtracting 2c from both sides:

-10 < c - 9

Next, we can isolate the c term by adding 9 to both sides:

-1 < c

Therefore, the solution to the inequality is: c > -1