Which graph represents the solutions to this inequality: 5n−3<3(n+1)
(2 points)
Responses
I'm sorry, but you haven't provided any graphs to choose from. Could you please provide the options for the graph representations?
To find the graph that represents the solutions to the inequality 5n - 3 < 3(n + 1), we need to simplify the inequality and solve for n.
Let's start by distributing 3 to (n + 1):
5n - 3 < 3n + 3
Next, let's subtract 3n from both sides of the inequality:
2n - 3 < 3
Now, let's add 3 to both sides:
2n < 6
Lastly, let's divide both sides of the inequality by 2 to solve for n:
n < 3
The graph that represents the solutions to this inequality is an open circle at 3 on the number line, and all values less than 3 shaded to the left.