To solve the inequality 10c + 5 < 4c - 1, we need to isolate the variable c. Here's how you can do it step by step:
1. Subtract 4c from both sides of the inequality to move all terms involving c to one side:
10c + 5 - 4c < 4c - 1 - 4c
Simplifying, we get: 6c + 5 < -1
2. Next, subtract 5 from both sides to isolate the term with c:
6c + 5 - 5 < -1 - 5
Simplifying, we get: 6c < -6
3. Divide by 6 on both sides to solve for c:
6c/6 < -6/6
Simplifying, we get: c < -1
Therefore, the solution to the inequality 10c + 5 < 4c - 1 is c < -1.
