CP Algebra I
3.6 Compound Inequalities
Objectives:
Name: ________________________________________
Date: _________________________ Block: ________
To solve and graph compound inequalities (both and as well as or)
To apply compound inequalities to industry
Warm-Up: Graph the following sets of inequalities on the same number line. Try to use
two different colors.
1) c < 8;c ³10
2) t > 2;t < 7
What is the meaning or the terms and and or?
Solving Compound Inequalities Containing and
On the first line please graph x > 5, on the second line please graph x < 7. On the third
graph please graph what they have in common.
Rewrite: ________________________________________________
Writing a Compound Inequality
Model: Write a compound inequality that represents each situation. Graph the solutions.
a) All real numbers that are at least -2
and at most 4
____________________
b) Today’s temperature will be above
32 F, but not as high as 40 F
___________________
Example: Write a compound inequality that represents each situation. Graph the solutions
a) All real numbers greater than -2 but less than 9
_______________
b) The books were priced between $3.50 and $6.00, inclusive
________________
Solving a compound Inequality
NEW STUFF: _________________________________________________________________________
Model: Solve -4 < r - 5 £ -1. Then graph the solution.
Method 1
Method 2
Try These: Solve the following. Then graph the solution.
a) -6 £ 3x £15
b) 7 < -3n +1£13
Solving Compound Inequalities Containing or
Writing a Compound Inequality
Model: Write a compound inequality that represents each situation. Graph the solutions.
a) All real numbers less than -3 or greater than 7
____________________
b) There is a discount at the fair
for children 12 and under or adults
at least 60 years old
_______________________
Try these: Write a compound inequality that represents each situation. Graph the solutions.
a) All real numbers greater than 1 or less than
or equal to -3
____________________
b) An investor buys shares of stocks
and will sell them if the change in
value from the purchase price of a
share is less than –$3.00 or greater
than $4.50.
_______________________
Solving a compound Inequality
Solve the compound Inequality. Then graph the solution.
Model: Solve 4v + 3 < -5or - 2v + 7 <1
Try these:
a) -2x + 7 > 3 or 3x - 4 ³ 5
b) 3h +1< -5 or - 2h + 5 < 7