Solve the inequality. Graph and check your solutions.

Question

4/3 <=n + 3

Which of the following is the graph of the solution​ set?

Answer 1

To solve the inequality, we can start by subtracting 3 from both sides:

4/3 - 3 <= n

Combining like terms gives us:

-5 2/3 <= n

To graph the solution set, we can plot a closed circle on -5 2/3 on a number line and shade to the right:

<===[-5 2/3===>

Finally, we can check our solution by choosing a value to the right of -5 2/3, such as -5. Plugging -5 into the original inequality gives us:

4/3 <= -5 + 3

4/3 <= -2

Since this is not true, we can conclude that the graph of the solution set is:

===>[-5 2/3===]