Question

inequality sorting activity cards (50 problems)
cut out the cards below. read each scenario, find the keyword, and sort the card under the correct inequality category: <, >, ≤, ≥, or ≠.
you must have over 54 miles per hour.
the answer is is not 92 miles per hour.
you must have exceeds 11 inches tall to ride.
the limit is no more than 73 inches tall to ride.
you need no less than 65 inches tall to ride.
the answer is is not 30 pages in a report.
the requirement is smaller than 82 years old to enter.
you need no less than 88 dollars for a ticket.
you must have larger than 8 questions correct.
you need minimum 81 years old to enter.
you must have above 48 books on the shelf.
the limit is up to 100 students in class.
the answer is is not 51 points to win.
the limit is maximum 50 students in class.
you must have more than 53 questions correct.
the answer is not equal to 31 pounds in a suitcase.
the limit is does not exceed 41 inches tall to ride.
the limit is no more than 58 dollars for a ticket.
the answer is not equal to 82 books on the shelf.
the answer is is not 38 pages in a report.
you must have over 46 years old to enter.
you need not under 93 pages in a report.
the requirement is less than 7 dollars for a ticket.
the answer is not equal to 36 miles per hour.
you must have above 49 pages in a report.
you must have larger than 10 dollars for a ticket.

Explanation:

Step1: Identify keywords for each statement

• "over", "exceeds", "above", "more than", "larger than" imply >.
• "no more than", "up to", "maximum", "does not exceed" imply ≤.
• "no less than", "minimum" imply ≥.
• "not" implies ≠.
• "less than" implies <.

Step2: Match statements with inequalities

• "You must have over 54 miles per hour." -> >
• "The answer is is not 92 miles per hour." -> ≠
• "You must have exceeds 11 inches tall to ride." -> >
• "The limit is no more than 73 inches tall to ride." -> ≤
• "You need no less than 65 inches tall to ride." -> ≥
• "The answer is is not 30 pages in a report." -> ≠
• "The requirement is smaller than 82 years old to enter." -> <
• "You need no less than 88 dollars for a ticket." -> ≥
• "You must have larger than 8 questions correct." -> >
• "You need minimum 81 years old to enter." -> ≥
• "You must have above 48 books on the shelf." -> >
• "The limit is up to 100 students in class." -> ≤
• "The answer is is not 51 points to win." -> ≠
• "The limit is maximum 50 students in class." -> ≤
• "You must have more than 53 questions correct." -> >
• "The answer is not equal to 31 pounds in a suitcase." -> ≠
• "The limit is does not exceed 41 inches tall to ride." -> ≤
• "The limit is no more than 58 dollars for a ticket." -> ≤
• "The answer is not equal to 82 books on the shelf." -> ≠
• "The answer is is not 38 pages in a report." -> ≠
• "You must have over 46 years old to enter." -> >
• "You need not under 93 pages in a report." -> ≥
• "The requirement is less than 7 dollars for a ticket." -> <
• "The answer is not equal to 36 miles per hour." -> ≠
• "You must have above 49 pages in a report." -> >
• "You must have larger than 10 dollars for a ticket." -> >

Answer:

• "You must have over 54 miles per hour." -> >
• "The answer is is not 92 miles per hour." -> ≠
• "You must have exceeds 11 inches tall to ride." -> >
• "The limit is no more than 73 inches tall to ride." -> ≤
• "You need no less than 65 inches tall to ride." -> ≥
• "The answer is is not 30 pages in a report." -> ≠
• "The requirement is smaller than 82 years old to enter." -> <
• "You need no less than 88 dollars for a ticket." -> ≥
• "You must have larger than 8 questions correct." -> >
• "You need minimum 81 years old to enter." -> ≥
• "You must have above 48 books on the shelf." -> >
• "The limit is up to 100 students in class." -> ≤
• "The answer is is not 51 points to win." -> ≠
• "The limit is maximum 50 students in class." -> ≤
• "You must have more than 53 questions correct." -> >
• "The answer is not equal to 31 pounds in a suitcase." -> ≠
• "The limit is does not exceed 41 inches tall to ride." -> ≤
• "The limit is no more than 58 dollars for a ticket." -> ≤
• "The answer is not equal to 82 books on the shelf." -> ≠
• "The answer is is not 38 pages in a report." -> ≠
• "You must have over 46 years old to enter." -> >
• "You need not under 93 pages in a report." -> ≥
• "The requirement is less than 7 dollars for a ticket." -> <
• "The answer is not equal to 36 miles per hour." -> ≠
• "You must have above 49 pages in a report." -> >
• "You must have larger than 10 dollars for a ticket." -> >