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.
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.
A student needs at least 120 credits to earn a Bachelors Degree. - x ≥ 120
A package of Oreos contains at most 48 cookies. - x ≤ 48
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
Inequality | Word sentence
-------------------------|--------------------------
x ≥ 120 | A student needs at least 120 credits to earn a Bachelors Degree.
x ≤ 48 | A package of Oreos contains at most 48 cookies.
x < 120 | There were fewer than 120 students at the dance.
x > 48 | A person's height must be above 48 inches to ride the roller coaster.
To match the inequalities to the correct word sentence, we'll need to analyze each inequality and its corresponding sentence to find the correct match.
Let's look at the inequalities:
1) x >= 120
2) y <= 48
3) z < 120
4) h > 48
Now let's analyze each sentence to find the match:
Sentence 1: "A student needs at least 120 credits to earn a Bachelor's Degree." This sentence implies that the student must have 120 credits or more. So the corresponding inequality should represent greater than or equal to. The correct match is inequality 1: x >= 120.
Sentence 2: "A package of Oreos contains at most 48 cookies." This sentence implies that the package cannot have more than 48 cookies. So the corresponding inequality should represent less than or equal to. The correct match is inequality 2: y <= 48.
Sentence 3: "There were fewer than 120 students at the dance." This sentence implies that the number of students is less than 120. So the corresponding inequality should represent less than. The correct match is inequality 3: z < 120.
Sentence 4: "A person's height must be above 48 inches to ride the roller coaster." This sentence implies that the height must be greater than 48 inches. So the corresponding inequality should represent greater than. The correct match is inequality 4: h > 48.
Now that we have analyzed the inequalities and matched them to the correct word sentences, we can fill in the table accordingly.