Question

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

Answer 1

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
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