Question

Solve the inequality 9.5x − 1.25 < 32

Answer 1

show that on a number line

Answer 2

To solve the inequality 9.5x - 1.25 < 32, you need to isolate x.

First, add 1.25 to both sides of the inequality:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25

Next, divide both sides by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5

Therefore, the solution to the inequality is x < 3.5.

Answer 3

To show the solution x < 3.5 on a number line, you can draw a number line and mark the point 3.5 with an open circle. Then, shade the area to the left of 3.5 to represent all the values of x that are less than 3.5. Here is how it should look:

```
----------------------------
-5 -4 -3 -2 -1 0 1 2 3 4 5
o
|-------
```

The open circle at 3.5 indicates that the value 3.5 itself is not included in the solution, and the shaded region to the left of 3.5 represents all the values of x that satisfy the inequality x < 3.5.