Which graph represents the solutions to this inequality: 5n−3<3(n+1)

Answer 1

To solve the inequality, we can simplify both sides first:

5n - 3 < 3(n + 1)
5n - 3 < 3n + 3

Next, we can isolate the terms with n on one side of the inequality:

5n - 3 - 3n < 3
2n - 3 < 3

Then, we can add 3 to both sides:

2n - 3 + 3 < 3 + 3
2n < 6

Finally, we can divide both sides by 2:

2n / 2 < 6 / 2
n < 3

Therefore, the solutions to the inequality are n < 3. The graph representing this inequality would be an open circle at 3 on the number line with an arrow pointing to the left, indicating that any value less than 3 would be a solution.