Question

A person's blood pressure is measured with two numbers. The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. The diastolic blood pressure measures the pressure while the heart is resting.

1. Let $x$be your systolic blood pressure. Research and then write the compound inequality that shows you what a normal systolic blood pressure should be for someone your age.
2. Let$y$be your diastolic blood pressure. Research and then write the compound inequality that shows you what a normal diastolic blood pressure should be for someone your age.

Short answer

1. The normal systolic blood pressure for someone whose age is $31$is $110\le x\le 134$.
2. The normal systolic blood pressure for someone whose age is$31$is$77\le y\le 85.$
   

Step-by-step solution

Step 1. Given information 

Systolic blood pressure, the top number, measures the force your heart exerts on the walls of your arteries each time it beats.

For someone whose age is $31$, the normal blood pressure ranges from $\frac{110}{77}$to $\frac{134}{85}$.

The normal systolic blood pressure is between $110$and$134$.

Part (a) Step 1. Find the compound inequality. 

Let $x$be the systolic blood pressure, it follows:

$110\le x\le 134$

Part (b). Step 1. Given information 

Diastolic blood pressure measures the pressure while the heart rests.

For someone whose age is $31,$the normal blood pressure ranges from $\frac{110}{77}$to$\frac{134}{85}$.

Part (b). Step 2. Find the compound inequality. 

The normal diastolic blood pressure is between $77$and $85.$

Let $y$be the systolic blood pressure, it follows that:

$77\le y\le 85$