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: \[ n < 3 \]

5n−3<3(n+1)

1 answer

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

Distribute the \(3\) on the right side: \[ 5n - 3 < 3n + 3 \]
Subtract \(3n\) from both sides: \[ 5n - 3n - 3 < 3 \] \[ 2n - 3 < 3 \]
Add \(3\) to both sides: \[ 2n < 3 + 3 \] \[ 2n < 6 \]
Divide both sides by \(2\): \[ n < 3 \]

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