Match the inequalities to the correct word sentence in the table below.
Please note: All of the inequalities will not be used.
A student needs at least 120 credits to earn a Bachelors Degree.
A package of Oreos contains at most 48 cookies.
There were fewer than 120 students at the dance.
A person's height must be above 48 inches to ride the roller coaster.
x >= 48, x < 48, x < 120, x > 120, x < 120, x > 48, x >= 120, x <= 48
Inequality 1: x >= 120 - A student needs at least 120 credits to earn a Bachelors Degree.
Inequality 2: x <= 48 - A package of Oreos contains at most 48 cookies.
Inequality 3: x < 120 - There were fewer than 120 students at the dance.
Inequality 4: x > 48 - A person's height must be above 48 inches to ride the roller coaster.
Inequality | Sentence
----------------- | --------------------------------------------------
x >= 48 | A person's height must be above 48 inches to ride the roller coaster.
x < 48 | There were fewer than 120 students at the dance.
x < 120 | A package of Oreos contains at most 48 cookies.
x > 120 | A student needs at least 120 credits to earn a Bachelors Degree.
To match the inequalities to the correct word sentences in the table, we can analyze the given information and the symbols in the inequalities.
1. "A student needs at least 120 credits to earn a Bachelors Degree."
The phrase "at least" indicates that the condition is greater than or equal to 120. So, x should be greater than or equal to 120.
Therefore, we can match this sentence with the inequality x >= 120.
2. "A package of Oreos contains at most 48 cookies."
The phrase "at most" suggests that the condition is less than or equal to 48. So, x should be less than or equal to 48.
Therefore, we can match this sentence with the inequality x <= 48.
3. "There were fewer than 120 students at the dance."
The phrase "fewer than" implies that the condition is less than 120. So, x should be less than 120.
Therefore, we can match this sentence with the inequality x < 120.
4. "A person's height must be above 48 inches to ride the roller coaster."
The phrase "above" indicates that the condition is greater than 48. So, x should be greater than 48.
Therefore, we can match this sentence with the inequality x > 48.
Now, let's match the remaining inequalities to the sentences:
- The sentence "A student needs at least 120 credits to earn a Bachelors Degree" is already matched with x >= 120.
- The sentence "A package of Oreos contains at most 48 cookies" is already matched with x <= 48.
- The sentence "There were fewer than 120 students at the dance" is already matched with x < 120.
- The sentence "A person's height must be above 48 inches to ride the roller coaster" is already matched with x > 48.
Therefore, the remaining inequalities correspond to the following word sentences:
- x < 48 matches "None of the given sentences."
- x > 120 matches "None of the given sentences."
- x < 120 matches "There were fewer than 120 students at the dance."
- x >= 48 matches "A person's height must be above 48 inches to ride the roller coaster."