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Answer :
To solve this problem, we need to find out the inequality that represents how many more inches Li's little brother needs to grow to meet the minimum height requirement for the roller coaster.
1. Convert the Height to Inches:
- Li's little brother is 3 feet 6 inches tall.
- There are 12 inches in a foot, so convert the feet to inches: [tex]\(3 \, \text{feet} \times 12 \, \text{inches/foot} = 36 \, \text{inches}\)[/tex].
- Add the additional 6 inches: [tex]\(36 \, \text{inches} + 6 \, \text{inches} = 42 \, \text{inches}\)[/tex].
- Thus, his current height is 42 inches.
2. Minimum Height Requirement:
- The ride requires the rider to be at least 48 inches tall.
3. Set Up the Inequality:
- We want to find out how many more inches Li's little brother needs to grow. Let [tex]\( h \)[/tex] represent the number of inches he needs to grow.
- Starting from his current height of 42 inches, the inequality should represent that his height plus the inches he grows ([tex]\(42 + h\)[/tex]) must be at least 48 inches.
- Therefore, the inequality is: [tex]\(48 \leq h + 42\)[/tex].
This inequality [tex]\(48 \leq h + 42\)[/tex] shows that the combined height of his current height and the growth needed must be greater than or equal to 48 inches for him to be able to ride the roller coaster.
1. Convert the Height to Inches:
- Li's little brother is 3 feet 6 inches tall.
- There are 12 inches in a foot, so convert the feet to inches: [tex]\(3 \, \text{feet} \times 12 \, \text{inches/foot} = 36 \, \text{inches}\)[/tex].
- Add the additional 6 inches: [tex]\(36 \, \text{inches} + 6 \, \text{inches} = 42 \, \text{inches}\)[/tex].
- Thus, his current height is 42 inches.
2. Minimum Height Requirement:
- The ride requires the rider to be at least 48 inches tall.
3. Set Up the Inequality:
- We want to find out how many more inches Li's little brother needs to grow. Let [tex]\( h \)[/tex] represent the number of inches he needs to grow.
- Starting from his current height of 42 inches, the inequality should represent that his height plus the inches he grows ([tex]\(42 + h\)[/tex]) must be at least 48 inches.
- Therefore, the inequality is: [tex]\(48 \leq h + 42\)[/tex].
This inequality [tex]\(48 \leq h + 42\)[/tex] shows that the combined height of his current height and the growth needed must be greater than or equal to 48 inches for him to be able to ride the roller coaster.
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