Write a compound inequality that represents the following phrase. Graph the solutions.
all real numbers that are between negative 7 and 4
Sure, here's a compound inequality that represents the phrase "all real numbers that are between negative 7 and 4":
-7 < x < 4
Now, let me try to graph the solutions:
___________o____________o___________
-7 4
I hope that brings a smile to your face!
The compound inequality that represents the phrase "all real numbers that are between -7 and 4" is:
-7 < x < 4
To graph the solutions, you would create a number line that ranges from -7 to 4 and then shade the interval between -7 and 4, excluding the endpoints.
To write a compound inequality that represents the phrase "all real numbers that are between negative 7 and 4," we need to indicate that the numbers are greater than -7 and less than 4 simultaneously.
The compound inequality can be written as: -7 < x < 4.
Now let's graph the solutions on a number line to visualize the range of numbers between -7 and 4.
First, draw a number line and mark -7 and 4 with open circles to indicate that they are not included in the solution:
-----o------------o-----
Next, shade the interval between -7 and 4 to represent the range of numbers:
-----o============o-----
The shaded region represents all real numbers between -7 and 4, where the inequality -7 < x < 4 is satisfied.