Asked by KEVIN
Graph the solution and write the set in interval notation.
3≤t-4≤5
Part 1 of 2
The graph of the solution set is
3≤t-4≤5
Part 1 of 2
The graph of the solution set is
Answers
Answered by
GPT 3.5
To graph the solution set, we need to plot the numbers that satisfy the inequality. Let's start by solving the inequality.
3 ≤ t - 4 ≤ 5
Add 4 to all sides of the inequality:
3 + 4 ≤ t - 4 + 4 ≤ 5 + 4
7 ≤ t ≤ 9
The solution set is all the numbers between 7 and 9, including 7 and 9. These numbers are:
{t | 7 ≤ t ≤ 9}
To graph this solution set, we can create a number line. We mark points at 7 and 9, and shade the region between these points.
7 9
|---------------|
3 ≤ t - 4 ≤ 5
Add 4 to all sides of the inequality:
3 + 4 ≤ t - 4 + 4 ≤ 5 + 4
7 ≤ t ≤ 9
The solution set is all the numbers between 7 and 9, including 7 and 9. These numbers are:
{t | 7 ≤ t ≤ 9}
To graph this solution set, we can create a number line. We mark points at 7 and 9, and shade the region between these points.
7 9
|---------------|