Section 1-4: Solving Inequalities
Solving and Graphing Inequalities
If you have to multiply or divide by a negative, remember you must flip the inequality
sign! (from greater than to less than or vice versa)
Example 1--Solve each inequality. Graph the solution.
Some inequalities have no solution, and some are true for all real numbers.
Example 2--Solve each inequality. Graph the solution.
Example 3--The band shown agrees to play for $200 plus 25% of the ticket sales. Find the ticket
sales needed for the band to receive at least $500.
Assignment Part 1: 1-4 Wksht #1-9, 18-21
Compound Inequalities
compound inequality--a pair of inequalities joined by and or or
Example 4--Graph the solution of
Quick Check 4--Graph the solution of
Example 5--Graph the solution of
and
and
or
Quick Check 5--Graph the solution
Example 6--The ideal length of a bolt is 13.48 cm. The length can vary from the ideal by at most
0.03 cm. A machinist finds one bolt that is 13.67 cm long. By how much should the machinist
decrease the length so the bolt can be used?
Assignment: 1-4 Worksheet #1-9, 11-17 odd, 18-24; GPS