70 80 2a. Solve the inequality -14x2 42. Then graph the solution set. +++ -5 4 45 -3-2 -1 O 2. MCCT.EE.4b 3 EXAMPLE

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Chapter2: Second-order Linear Odes
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Question
Let t represent the time, in minutes, the diver has been descending.-
rate of -40 feet per minute. He started at the water's surface, and his
elevation is now less than -100 feet. How long has the diver been
A scuba diver's elevation compared to sea level is changing at a constant
2a. Solve the inequality -14x2 42. Then graph the solution set.
se?
C Graph the solution set of the inequality.
++++
-20 -10 0
10
20 30
TRY THIS!
40
50 60 70 80
2a. Solve the inequality -14x2 42. Then graph the solution set.
++++
-5 4
MCC7.EE.4b
+
-3
-2 -1
3 4
3 EXAMPLE
Solving Inequalities by Dividing
elevation is now less than -100 feet How long has the diver been
descending?
A Write an inequality to represent the situation.
Let r represent the time, in minutes, the diver has been descending-
the given
elevation
Think:
the rate of eleva-
the time
is less than
times
tion change
in minutes
-100
B
Use inverse operations to solve the inequality.
-40t < -100
Think: The variable is multiplied by -40, so
multiplication. The inequality symbol does /
does not need to be reversed.
each side by -40 to undo the
-40t
-100
C Interpret the solution set.
What does the solution set tell you?
5.
4
++
-5 -4 -3 -2
2.
-1
D Graph the solution set of the inequality.
3. Explain why you did or did not need to reverse the inequality symbol when solving
the inequality.
REFLECT
Lesson 2
151
Module 6
on 2
O Houghton Mifflin Harcourt Publishing Company
Transcribed Image Text:Let t represent the time, in minutes, the diver has been descending.- rate of -40 feet per minute. He started at the water's surface, and his elevation is now less than -100 feet. How long has the diver been A scuba diver's elevation compared to sea level is changing at a constant 2a. Solve the inequality -14x2 42. Then graph the solution set. se? C Graph the solution set of the inequality. ++++ -20 -10 0 10 20 30 TRY THIS! 40 50 60 70 80 2a. Solve the inequality -14x2 42. Then graph the solution set. ++++ -5 4 MCC7.EE.4b + -3 -2 -1 3 4 3 EXAMPLE Solving Inequalities by Dividing elevation is now less than -100 feet How long has the diver been descending? A Write an inequality to represent the situation. Let r represent the time, in minutes, the diver has been descending- the given elevation Think: the rate of eleva- the time is less than times tion change in minutes -100 B Use inverse operations to solve the inequality. -40t < -100 Think: The variable is multiplied by -40, so multiplication. The inequality symbol does / does not need to be reversed. each side by -40 to undo the -40t -100 C Interpret the solution set. What does the solution set tell you? 5. 4 ++ -5 -4 -3 -2 2. -1 D Graph the solution set of the inequality. 3. Explain why you did or did not need to reverse the inequality symbol when solving the inequality. REFLECT Lesson 2 151 Module 6 on 2 O Houghton Mifflin Harcourt Publishing Company
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