Question

5n−3<3(n+1)

Answer 1

To solve the inequality \(5n - 3 < 3(n + 1)\), follow these steps:

1. Distribute the \(3\) on the right side:
\[
5n - 3 < 3n + 3
\]

2. Subtract \(3n\) from both sides:
\[
5n - 3n - 3 < 3
\]
\[
2n - 3 < 3
\]

3. Add \(3\) to both sides:
\[
2n < 3 + 3
\]
\[
2n < 6
\]

4. Divide both sides by \(2\):
\[
n < 3
\]

Thus, the solution to the inequality is:
\[
n < 3
\]