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Answer :
Certainly! Let's solve this step-by-step.
1. Convert the Height to Inches:
Li's little brother is 3 feet 6 inches tall. To solve the problem, we first need to convert his height into inches.
- There are 12 inches in a foot. So, 3 feet = 3 × 12 inches = 36 inches.
- Adding the extra 6 inches, the total height is 36 inches + 6 inches = 42 inches.
2. Determine the Height Requirement:
Riders need to be at least 48 inches tall to go on the roller coaster. We want to find out how much more Li's little brother needs to grow to reach or exceed this height.
3. Set Up the Inequality:
Let [tex]\( h \)[/tex] represent the additional height in inches that Li's little brother needs to grow.
- His current height is 42 inches, and he needs to be at least 48 inches.
- The inequality that represents this situation is: [tex]\( 42 + h \geq 48 \)[/tex].
4. Rearrange the Inequality:
Subtract 42 from both sides to isolate [tex]\( h \)[/tex]:
- [tex]\( h \geq 48 - 42 \)[/tex]
- [tex]\( h \geq 6 \)[/tex]
5. Choose the Correct Form from the Options:
The inequality from the available options should show the relationship between the required height (48 inches) and the current height (42 inches). If we rearrange it to focus on the inequality given in the choices, we have:
Since the options listed are in the form of how many inches he needs to reach 48 inches, the correct choice matches:
[tex]\( 48 \leq h + 42 \)[/tex].
So, the inequality that can be used to find how many inches he must grow is [tex]\( 48 \leq h + 42 \)[/tex].
1. Convert the Height to Inches:
Li's little brother is 3 feet 6 inches tall. To solve the problem, we first need to convert his height into inches.
- There are 12 inches in a foot. So, 3 feet = 3 × 12 inches = 36 inches.
- Adding the extra 6 inches, the total height is 36 inches + 6 inches = 42 inches.
2. Determine the Height Requirement:
Riders need to be at least 48 inches tall to go on the roller coaster. We want to find out how much more Li's little brother needs to grow to reach or exceed this height.
3. Set Up the Inequality:
Let [tex]\( h \)[/tex] represent the additional height in inches that Li's little brother needs to grow.
- His current height is 42 inches, and he needs to be at least 48 inches.
- The inequality that represents this situation is: [tex]\( 42 + h \geq 48 \)[/tex].
4. Rearrange the Inequality:
Subtract 42 from both sides to isolate [tex]\( h \)[/tex]:
- [tex]\( h \geq 48 - 42 \)[/tex]
- [tex]\( h \geq 6 \)[/tex]
5. Choose the Correct Form from the Options:
The inequality from the available options should show the relationship between the required height (48 inches) and the current height (42 inches). If we rearrange it to focus on the inequality given in the choices, we have:
Since the options listed are in the form of how many inches he needs to reach 48 inches, the correct choice matches:
[tex]\( 48 \leq h + 42 \)[/tex].
So, the inequality that can be used to find how many inches he must grow is [tex]\( 48 \leq h + 42 \)[/tex].
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