Write a compound inequality that represents the following phrase. Graph the solutions.
all real numbers that are between -1 and 2
Write a compound inequality that represents the phrase. Choose the correct answer below.
A. -1 < n <= 2 B. -1 <= n < 2
C. -1 < n < 2 D. -1 <= n <= 2
The correct answer is C. -1 < n < 2
The correct compound inequality that represents the phrase "all real numbers that are between -1 and 2" is:
C. -1 < n < 2
To graph the solutions, you can draw a number line and shade the portion between -1 and 2, excluding the endpoints.
To represent the phrase "all real numbers that are between -1 and 2" with a compound inequality, we can use the symbols for "greater than" (>) and "less than" (<).
To find the correct inequality, we need to consider the endpoints -1 and 2. Since the phrase says "between," it implies that the endpoints are not included in the solution set. To represent this, we use the symbols for "strictly greater than" (>) and "strictly less than" (<).
The correct compound inequality to represent the phrase is:
C. -1 < n < 2
Now let's graph the solutions on a number line:
On the number line, mark a point at -1 but leave it open (not filled in) to indicate that -1 is not included in the solution.
Then, mark a point at 2 but also leave it open (not filled in) to indicate that 2 is not included in the solution.
Finally, shade the region between -1 and 2 to show that the solutions lie in that range.
Your graph should have an open circle at -1, an open circle at 2, and a shaded region between them.