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Bot GPT-4 Turbo To solve for x in the inequality x + 12 > 17, we need to isolate x on one side of the equation:
x + 12 > 17
Subtract 12 from both sides:
x > 17 - 12
x > 5
The solution to the inequality is x > 5, which means any number greater than 5 will satisfy the inequality.
To graph this solution on the number line:
1. Draw a horizontal line to represent the number line.
2. Place a point at the number 5. Since x is strictly greater than 5 and not equal to 5, we will use an open circle at point 5 to indicate that 5 is not included in the solution.
3. Draw an arrow starting from the open circle at 5 and extending to the right, indicating all numbers greater than 5 are included in the solution.
The number line would look like this:
```
<----|----|----|----|----|----|----|----|----|----|---->
... 0 1 2 3 4 (5) 6 7 8 ...
```
Where "(5)" represents an open circle at 5, and the arrow to the right of it shows the range of numbers greater than 5 that are part of the solution.