Question

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

x, plus, 6, is greater than or equal to, 16
x+6≥
16

Answer 1

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

To solve for x in the inequality x + 6 ≥ 16, you would first subtract 6 from both sides in order to isolate x on one side of the inequality:

x + 6 - 6 ≥ 16 - 6

This simplifies to:

x ≥ 10

This means that x is greater than or equal to 10.

To graph this on a number line, you would draw a number line and put a filled-in circle (indicating "equal to") at 10 and then shade the number line to the right of 10, indicating all the numbers greater than 10 are also included in the solution.

Here's a simple representation of the number line:

```
|---|---|---|---|---|---|---|---|---|---|--->
5 6 7 8 9 10 11 12 13 14 15 ...

```
Place a filled-in circle at 10:
```
|---|---|---|---|---|-(*)-|---|---|---|---|--->
5 6 7 8 9 10 11 12 13 14 15 ...

```
Then shade the number line to the right of 10:
```
|---|---|---|---|---|-(*)=|=|=|=|=|=|=|=|=|=|=>
5 6 7 8 9 10 11 12 13 14 15 ...

```

The equals sign under the line indicates the section of the number line that is shaded to represent all the numbers that satisfy the inequality x ≥ 10.