Write a compound inequality that represents the following phrase. Graph the solutions. all real numbers that are between 5 and 3, inclusive Write a compound inequality that represents the phrase. Choose the correct answer below. OA. - 5 < n <= 3 O C. - 5 <= n < 3 OB. - 5 < n < 2 OD. - 5 < n < 3
The correct compound inequality that represents the given phrase is -5 < n ≤ 3.
To graph the solutions, we represent the number line. The solution will include all real numbers that are greater than -5 and less than or equal to 3.
On the number line, we mark -5 as an open circle (since it is not included in the solution), and 3 as a closed circle (since it is included in the solution). Then, we shade the region between the two points.
So, the graph of the solutions looks like this:
-5 -4 -3 -2 -1 0 1 2 3
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The shaded region between -5 and 3 represents the solutions to the compound inequality -5 < n ≤ 3.
To represent the phrase "all real numbers that are between 5 and 3, inclusive" as a compound inequality, we can use the symbols for greater than or equal to (≥) and less than or equal to (≤).
The correct compound inequality that represents the phrase is:
5 ≤ n ≤ 3
To represent the phrase "all real numbers that are between 5 and 3, inclusive" using a compound inequality, we need to consider the following conditions:
1. The numbers should be greater than 5 (excluding 5)
2. The numbers should be less than or equal to 3
Based on these conditions, the compound inequality that represents the given phrase is:
5 < n <= 3
By using an open circle at 5 and a closed circle at 3 on a number line, you can graph the solutions of this compound inequality.