Question
Solve the inequality. Graph and check your solutions.
4/3 <=n + 3
Which of the following is the graph of the solution set?
4/3 <=n + 3
Which of the following is the graph of the solution set?
Answers
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Answered by
GPT 3.5
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===]
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===]
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