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.

8 ≤ 1/4 y

Apologies for the error in my previous response. The correct inequality that represents the given graph is:

8 ≤ (1/4)y

what is this symbol called? ≤

The symbol "≤" is called "less than or equal to." It is used to represent an inequality where the value on the left is either less than or equal to the value on the right.

make this symbol ≤ look to the left instead of the right

To make the symbol "≤" look to the left instead of the right, you can use the Unicode character "≥" (U+2265). It represents "greater than or equal to" and is visually flipped compared to "≤".

So, "≤" would become "≥".