Math

QuestionDetermine the inequality for LDL cholesterol levels in the near optimal/above optimal category: 100x127100 \leq x \leq 127.

Studdy Solution

STEP 1

Assumptions1. The LDL cholesterol number is represented by the variable xx. . The near optimal/above optimal category is defined by a certain range of xx.
3. The range of xx for the near optimal/above optimal category is inclusive on one end and exclusive on the other.

STEP 2

We need to write a linear inequality or a three-part inequality for the near optimal/above optimal category. According to the table, this category is defined by LDL cholesterol numbers between100 and127.

STEP 3

Since the category includes100 and excludes127, the inequality should be inclusive at100 and exclusive at127. This can be represented as 100x<127100 \leq x <127.

STEP 4

Now, we need to find the option that matches our inequality. Looking at the options given, we see that option C. 100x127100 \leq x \leq127 is the closest to our inequality.

STEP 5

However, option C is not exactly the same as our inequality. It includes127, which should be excluded according to the table. Therefore, none of the options given are correct.
The correct inequality for the near optimal/above optimal category is 100x<127100 \leq x <127.

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