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Learn how to solve compound inequalities and apply them to practical word problems. Master the techniques of finding absolute values and solving bounded inequalities.
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Bellwork No Clickers • Solve the inequality • Find the absolute value • 4 • -7 • -12
Bellwork Solution • Solve
Bellwork Solution • Solve
Bellwork Solution • Find the absolute value • 4 • -7 • -12 4 7 12
Solve compound inequalities Section 6.4b
Concept • Today we’re going to spend a bit more time talking about how to solve compound inequalities • We’re also going to spend some time talking about how to use compound inequalities in a word problem
DefinitionsDon’t write this down…just review • Symbols • Greater than • Less than • Greater than or equal to • Less than or equal to Does not include the number Open Circle Include the number Closed Circle
Solving Inequalities • Let’s Review Because this is an AND statement we can either combine or leave separate
Solving Inequalities • When we solve these we also have to remember to pay attention to our division and multiplication by a negative
Solving Inequalities • This is the same for or statements Because it’s an OR statement, we leave it as an OR statement and we don’t have to change the order
Practical Example What’s our formula for changing Celsius to Fahrenheit? How would we translate this into an inequality?
Practical Example • A ski shop sells recreational skis with lengths ranging from 150 centimeters to 220 centimeters. The shop recommends that recreational skis be 1.16 times the skier’s height (in centimeters). For which heights of skiers does the shop not provide recreational skis?
Homework 6.4 9-22, 37-43, 51-54
Most Important Points • What’s the most important thing that we can learn from today? • Using compound inequalities with word problems allows us to see practical applications of bounded inequalities