Match the inequalities to the correct word sentence in the table below.
Please note: All of the inequalities will not be used.
(4 points)
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A student needs at least 120 credits to earn a Bachelors Degree. Response area
A package of Oreos contains at most 48 cookies. Response area
There were fewer than 120 students at the dance. Response area
A person's height must be above 48 inches to ride the roller coaster. Response area
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x ≤ 48 x < 48 x > 48 x ≤ 120 x ≥ 48 x > 120 x < 120 x ≥ 120
A package of Oreos contains at most 48 cookies. x ≤ 48
A student needs at least 120 credits to earn a Bachelors Degree. x ≥ 120
There were fewer than 120 students at the dance. x < 120
A person's height must be above 48 inches to ride the roller coaster. x > 48
A package of Oreos contains at most 48 cookies. Response area: x ≤ 48
There were fewer than 120 students at the dance. Response area: x < 120
A person's height must be above 48 inches to ride the roller coaster. Response area: x > 48
A student needs at least 120 credits to earn a Bachelors Degree. Response area: x ≥ 120
To match the inequalities to the correct word sentence, we need to analyze each sentence and determine the appropriate symbol that represents the relationship between the variables. Here's how we can do it:
1. A student needs at least 120 credits to earn a Bachelors Degree.
Here, "at least" suggests that the minimum requirement is 120 credits. So, the appropriate inequality symbol is "≥" (greater than or equal to). Hence, we match this sentence with "x ≥ 120."
2. A package of Oreos contains at most 48 cookies.
"At most" indicates that the maximum limit is 48 cookies. Therefore, the correct inequality symbol is "≤" (less than or equal to). Thus, we match this sentence with "x ≤ 48."
3. There were fewer than 120 students at the dance.
"Fewer than" implies a quantity less than 120. Hence, the suitable inequality symbol is "<" (less than). Thus, we match this sentence with "x < 120."
4. A person's height must be above 48 inches to ride the roller coaster.
"Above" indicates a value greater than 48. Therefore, the correct inequality symbol is ">" (greater than). Hence, we match this sentence with "x > 48."
After analyzing the given sentences and understanding the meanings, we can determine the appropriate inequality symbols for each scenario.