Question

Solve for xx and graph the solution on the number line below.

5x<5

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To solve the inequality 5x < 5 for x:

Divide both sides of the inequality by 5 to isolate x:

5x / 5 < 5 / 5

This simplifies to:

x < 1

This means that any number less than 1 satisfies the inequality.

Now, to graph the solution on a number line:

1. Draw a horizontal line and mark points on it, particularly the point corresponding to x = 1.

2. Since the inequality does not include the number 1 (it is strictly less than 1), we will use an open circle at x = 1 to indicate that 1 is not a part of the solution set.

3. Shade the region of the number line to the left of 1 to represent all numbers less than 1.

Here's a basic text representation of the number line:

```

... | ... | ... | 0 | ... | 1 | ... | ... | ...
' ' ' '
-1 0 1 2

----------------------------o------------------------->

Shaded region: <---- (Indicating all the values less than 1)
```

In the drawing above, 'o' stands for an open circle at x = 1, and the shaded region is indicated with a leftward arrow, showing all the values less than 1 are the solution to the inequality.