1. State the problem: Express each statement using an inequality involving absolute value.
2. Use the absolute value modeling rule:
- “within $k$ units of $a$” means $|x-a| \le k$.
3. Statement 1 (plant height):
- Standard size is 13 inches.
- “Within 2 inches” means the height is at most 2 away from 13.
4. Write the absolute value inequality:
$$|h-13| \le 2$$
5. Interpret the inequality in words:
- The height $h$ can be any value from $13-2$ to $13+2$ (inclusive).
6. Find the range (optional check):
- $13-2=11$
- $13+2=15$
So $11 \le h \le 15$.
7. Final answer:
$$|h-13| \le 2$$
Plant Height Absolute F2D302
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