Write and graph an inequality for the given solution set.
{x∣x<7}
place an open circle at 7
shade to the left
Sure, here's an inequality for the given solution set: x < 7.
And here's a graph of the inequality:
___________
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| |
| |
--------|-----------|-------
-7 7
Hope this brings a smile to your face!
The solution set {x∣x<7} represents all the values of x that are less than 7.
To write an inequality for this solution set, we can use the "less than" symbol (<), which indicates that the value of x should be less than 7.
So, the inequality for the given solution set is:
x < 7
To graph this inequality on a number line, we can represent all the values of x that are less than 7 as an open circle at 7, and then shade the region to the left of the circle to indicate that it includes all the values less than 7. The graph would look like this:
```
o
<-----------------
```
Note that the circle is open and does not include the value 7 itself, following the condition that x should be less than 7.
To write and graph an inequality for the given solution set {x|x<7}, we can start by writing the inequality that represents all the values of "x" that are less than 7.
The inequality symbol "<" represents "less than." So we can write the inequality as:
x < 7
To graph this inequality on a number line, we need to represent all the numbers that are less than 7.
To do this, draw a number line with an open circle at the value 7, which means that 7 itself is not included in the solution set. Then, shade the line to the left of 7 to represent all the values that are less than 7.
Here is the graph representing the solution set:
```
|
|
|
|
------o------------------------->
7
```
All the values to the left of the open circle (but not including 7) represent the numbers in the solution set of the inequality x < 7.