Math Snap

STEP 1

Assumptions1. The LDL cholesterol number is represented by the variable $x$.
. The categories are defined by the LDL cholesterol number ranges provided in the problem.
3. The borderline high category is defined by a certain range of $x$.

STEP 2

We need to find the range of $x$ that corresponds to the borderline high category. This is given in the problem as128-159.

STEP 3

We can write this range as an inequality. The LDL cholesterol number $x$ must be greater than or equal to128 and less than or equal to159. This can be written as$$128 \leq x \leq159$$

STEP 4

We can now compare this inequality to the answer choices given in the problem. The correct answer is the one that matches our inequality.

Comparing our inequality with the answer choices, we find that the correct answer is A. $128 \leq x \leq159$.
So, the linear inequality for the borderline high category is $128 \leq x \leq159$.