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Exercise. The graph in the next column shows the target heart beat range for different ages and exercise intensity levels. If we let $b$ represent the number of beats per minute, then the compound inequality that estimates the heart beat rate range for a 30 -year-old involved in a high-intensity workout is about $168 \leq b \leq 198 .$ Use a compound inequality to estimate the heart beat rate range for the following ages and zones.a. 45 -year-old, fat-burning zoneb. 70 -year-old, high-intensity zonec. 25 -year-old, intermediate zone
a) $100 \leq b \leq 118$$b)$$136 \leq b \leq 160$$c)$$134 \leq b \leq 172$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 7
Solving Inequalities
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
Missouri State University
Campbell University
Lectures
01:32
In mathematics, the absolu…
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A person's maximum he…
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Maximum heart rate, $H,$ i…
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The following bar graph sh…
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Heart Rates Recommended he…
02:00
The maximum heart rate, in…
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(See Exercise $77 .$ ) The…
so I've included the data for each group Askew can see below. So let's start with party. That's the yellow orange section. We're looking for a 45 year old in the fat burning, so the lowest number would be 100 hits exactly on the line, and the high would be, Ah, I estimate that to be about 1/18. So for all of these were looking for it to be between and inclusive because it is a salad line. So for this one, you would always take the low and then use less than or equal to and then put the B and then the high number. And we're just gonna do that same thing for all three, says my answer for apart A. That would be the range for Part B. We're looking for a 70 year old in the high intensity. That would be the red section, so the low is 1 37 last unable to be, which is less frequent Warren sixties. That's always a set up. So it's between inclusive, which means I have the equal to line for each on again. It's always the same set up. It's always put be in the middle always used last, and then you can put the smallest one here, and the largest one hears that would be the 25 year old intermediate, which is in the green section.
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