Solving Inequalities in One Variable

1.

2.

3.

Warm Up:

1.

2.

Examples:

•

•

•

•

•

8.23.12Tuesday, July 17, 201210:26 PM

HA2T-C Page 1

Practice:

Solve and graph

•

•

•

•

•

•

2-2

Solving Combined InequalitiesTuesday, July 17, 2012

Conjunction: finding the values of the variable for which both sentences are •10:27 PM

HA2T-C Page 2

Conjunction: finding the values of the variable for which both sentences are true

•

Disjunction: finding the values of the variable for which either sentence is true•Examples:

•

or •

•

and •

or •Practice:

Solve

•

or •

•

HA2T-C Page 3

or •

•

or

•

•

2-3

Problem Solving Using InequalitiesTuesday, July 17, 201210:28 PM

Use the same steps you do for solving word problems with equations. Look for terms like, "at least," "at most," "more than," "less than," etc.Examples:

A store is charged $5.50 each for calculators and a delivery charge of $25 for the order. If the store sells the calculators for $8 each, how many calculators must be ordered and sold to produce a profit of at least $80?

•

The Perez family has 100 more shares of stock B than of stock A. The current price per share of stock A is $18.50 and of stock B is $24.75. At most, how many shares of each do they have if the average price per share is greater than $22?

•

HA2T-C Page 4

p. 68 #23, 27-33 oddp. 71-72 #7-15 odd

Homework: pp. 62-63 #15-23 odd

Practice:

Bert's bank contains twice as many nickels as quarters and 3 more dimes than nickels. If the coins are worth more than $5, at least how many dimes does he have?

•

A regular hexagon, a square and an equilateral triangle all have equal side lengths. If the sum of the perimeter of the square and the triangle is no more than 18 cm less than twice the perimeter of the hexagon, what is the minimum length of each side?

•

Find all the sets of five consecutive even integers whose sum is between 225 and 250.

•

HA2T-C Page 5