6.4 Solving Compound Inequalities

I can… solve compound inequalities

containing the word and and graph their

solution sets.I can… solve

compound inequalities containing the word or

and graph their solution sets.

Inequalities with “AND”• The solution set is the area where it is

true for BOTH inequalities.

• Symbol: ∩ “Intersection”

• EX. x < 2 and x ≥ -1

Inequalities with “OR”• The solution set is the area where it is true

for ONE OR BOTH of the inequalities. Symbol: U “Union”

• EX. 2a + 1 < 11 or -2a < 2

Examples:A.) Graph the solution set of

y ≥ 5 and y < 12.

Examples:B.) Solve 7 < x + 2 11. Then

graph the solution set.

Examples:C.) Solve and then graph the

solution set.

4k – 7 25 or 12 – 9k ≥ 30.

Assignment:6.4 pg 342 #14-44(even),

55-56 [18]