Algebra II
Notes 1.6 Solving Linear Inequalities
Activity:
*Write a true inequality.
4>1
*Multiply both sides by 2.
8>2
*Multiply the original by -2.
-8 > -2
*Which of these is true and which if false?
*Conclusion -- When multiplying (or dividing) by a negative number, you must flip the
inequality sign to make the statement true.
Linear Inequality – inequalities involving one variable.
Solution – to a linear inequality usually involves an infinite number of answers.
Graphing Linear Inequalities -< or > open circle on critical value.
< or > closed circle on critical value.
EX: Solve and graph the solution set.
a.) 11y − 9 > 13
b.) 7 x + 9 ≥ 10 x − 12
Assign p. 45 #13 – 18, 19 – 35 Odd
c.) 5 − 5 x > 4(3 − x)
Algebra II
Notes 1.6 Continued
Compound Inequalities – two or more inequalities joined by “and” or “or”.
EX:
− 9 < t + 4 and t + 4 < 10
EX: − 2 x + 7 < 3 or 3x + 5 < 2
← Conjunction. May also be written as − 9 < t + 4 < 10
← Disjunction. (Has no “short cut” like a conjunction.)
EX: − 12 ≤ 3x − 3 ≤ 15
Assign #1 – p. 46 #37 – 46
Assign #2 – Wkst 1.6 A
Assign #3 - Chapter Review p. 59 – 60 #19 – 34
Assign #4 – Chapter Review p. 61 #23 – 28, 32, 33, 34 / p. 62 #7 – 10, 17a