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Answer :
To solve the problem about the heights of students in a ninth-grade class, we need to determine the correct inequality to describe the range of student heights based on the given information.
1. Identify the known information:
- The shortest student in class has a height of 155 cm.
- The tallest student has a height that is not explicitly given to be 190 cm, but we know the height is less than 190 cm.
2. Determine the correct inequality format:
- Given the shortest student's height is 155 cm, our inequality should reflect that heights start from 155 cm onward.
- Since the tallest student is less than 190 cm, we know that the maximum height is 190 cm but not reaching 190 itself.
3. Incorporate the boundaries:
- The heights of the students are inclusive of 155 cm since the shortest student is exactly 155 cm.
- The maximum height is strictly less than 190 cm, indicating it goes up to but does not include 190 cm.
4. Formulate the inequality:
- We include the lower boundary (155 cm) as it is part of the possible heights, using the symbol "≤".
- We use the symbol "<" to represent that the height is less than 190 cm, but doesn’t include 190 cm itself.
Therefore, the appropriate inequality to describe the heights of the students is:
[tex]\[ 155 \leq h < 190 \][/tex]
This inequality means that student heights are at least 155 cm and less than 190 cm.
1. Identify the known information:
- The shortest student in class has a height of 155 cm.
- The tallest student has a height that is not explicitly given to be 190 cm, but we know the height is less than 190 cm.
2. Determine the correct inequality format:
- Given the shortest student's height is 155 cm, our inequality should reflect that heights start from 155 cm onward.
- Since the tallest student is less than 190 cm, we know that the maximum height is 190 cm but not reaching 190 itself.
3. Incorporate the boundaries:
- The heights of the students are inclusive of 155 cm since the shortest student is exactly 155 cm.
- The maximum height is strictly less than 190 cm, indicating it goes up to but does not include 190 cm.
4. Formulate the inequality:
- We include the lower boundary (155 cm) as it is part of the possible heights, using the symbol "≤".
- We use the symbol "<" to represent that the height is less than 190 cm, but doesn’t include 190 cm itself.
Therefore, the appropriate inequality to describe the heights of the students is:
[tex]\[ 155 \leq h < 190 \][/tex]
This inequality means that student heights are at least 155 cm and less than 190 cm.
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