Question

Draw a graph that solves the inequality 4X greater than 10,

Answer 1

To graphically represent the inequality 4x > 10, we first need to plot the line 4x = 10 by finding two points on this line.

When x = 0, 4x = 4(0) = 0, so one point on the line is (0,0).
When x = 2.5, 4x = 4(2.5) = 10, so the second point on the line is (2.5, 10).

Now, let's plot these two points on a coordinate plane and draw a dashed line through them:

```
|
12| .
| .
10| . .
| .
8|
|
6|
|
4|
|
2|___
0 2 4 6 8 10 12
```

The dashed line represents the equation 4x = 10.

To indicate the solution of the inequality 4x > 10, we need to shade the area above the dashed line because it represents all the values of x that satisfy 4x > 10.

Therefore, the shaded region is above the dashed line:

```
|
12| .
| . ▓
10| . ▓ .
| . ▓
8| ▓
|
6|
|
4|
|
2|___
0 2 4 6 8 10 12
```

This shaded region represents all the x values that make 4x greater than 10.