Question

solve the following inequality for c. write your answer in simplest form.

2c - 10 < 3c - 9

answer
attempt 1 out of 5
c <
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Explanation:

Step1: Subtract \(2c\) from both sides

To isolate the variable terms, we subtract \(2c\) from each side of the inequality \(2c - 10 < 3c - 9\). This gives us \(-10 < c - 9\).

Step2: Add 9 to both sides

Next, we add 9 to both sides of the inequality \(-10 < c - 9\) to solve for \(c\). Doing so, we get \(-10 + 9 < c\), which simplifies to \(-1 < c\) or \(c > -1\).

Answer:

\(c > -1\)