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 hiselevation is now less than -100 feet. How long has the diver beenA scuba diver's elevation compared to sea level is changing at a constant2a. Solve the inequality -14x2 42. Then graph the solution set.se?C Graph the solution set of the inequality.++++-20 -10 01020 30TRY THIS!4050 60 70 802a. Solve the inequality -14x2 42. Then graph the solution set.++++-5 4MCC7.EE.4b+-3-2 -13 43 EXAMPLESolving Inequalities by Dividingelevation is now less than -100 feet How long has the diver beendescending?A Write an inequality to represent the situation.Let r represent the time, in minutes, the diver has been descending-the givenelevationThink:the rate of eleva-the timeis less thantimestion changein minutes-100BUse inverse operations to solve the inequality.-40t < -100Think: The variable is multiplied by -40, somultiplication. The inequality symbol does /does not need to be reversed.each side by -40 to undo the-40t-100C Interpret the solution set.What does the solution set tell you?5.4++-5 -4 -3 -22.-1D Graph the solution set of the inequality.3. Explain why you did or did not need to reverse the inequality symbol when solvingthe inequality.REFLECTLesson 2151Module 6on 2O Houghton Mifflin Harcourt Publishing Company

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Answered: 70 80 2a. Solve the inequality -14x2…

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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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

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