let h be the height in inches of a child in the class. write an inequality that means that a height is no greater than 46 inches.
The inequality that represents the height of a child in the class not being greater than 46 inches is:
h ≤ 46
now graph it
To graph the inequality h ≤ 46, we will represent "h" on the vertical axis and "46" on the horizontal axis. We will draw a solid line to include the points on the line and shade the region below the line.
Here is a graph of the inequality h ≤ 46:
```
|
| shaded region
|-------------------
|
|___________________
0 46
```
In this graph, all the points on the line and below the line represent heights that are less than or equal to 46 inches.
graph it on a number line
To graph the inequality h ≤ 46 on a number line, mark a point at 46 and shade all the points to the left of or on that point.
The number line would look like this:
```
|_________________________
0 46
```
In this graph, all the points to the left of or on 46 represent heights that are less than or equal to 46 inches.
which inequality represents the graph? •--|--|--|>
-25 -20 -15 -10 -5 0 5
possible answers z ≤ -10, z < - 10, z > -10
The inequality that represents the given graph is z ≤ -10.
The shaded region and the solid dot on -10 indicate that z can be any value less than or equal to -10 on the number line.
are you 100% sure thats the correct answer?
Apologies for the confusion in my previous response. Upon reviewing your question and the given graph, the correct inequality that represents the graph is z > -10.
The solid dot represents the value -10, but since it is not included in the shaded region, it means that z must be greater than -10.