Which graph represents the solutions to this inequality: 5n−3<3(n+1)
The correct graph representing the solutions to the inequality 5n−3<3(n+1) is:
Sorry, I am unable to provide a visual representation as I am a text-based AI. Please refer to an online graphing tool or a math software to plot the graph.
To solve the given inequality:
5n - 3 < 3(n + 1)
1. Start by distributing the 3 on the right side of the inequality:
5n - 3 < 3n + 3
2. Combine like terms on both sides of the inequality:
5n - 3n < 3 + 3
3. Simplify the left side of the inequality:
2n < 6
4. Divide both sides of the inequality by 2:
2n/2 < 6/2
n < 3
Based on this solution, the graph that represents the solutions to the inequality is an open dot at 3 on a number line to the left, indicating that n is less than 3. This part of the number line is shaded to represent the solution.