Alg2 Lesson 1-4Solving Inequalities

Objectives:1. Solve inequalities.2. Solve combined inequalities.3. Identify conjunctions and disjunctions.4. Graph solutions to inequalities.

Combined inequalityConjunction 1. An “and” inequality problem. 2. The variable is in the middle of the two inequality symbols. 3. The graphs of a conjunction “connect” towards each other.4. The solutions of a conjunction problem will make both inequality problems true.

3. -1 3x - 4 <8

Disjunction• 1. An “or” inequality problem. • 2. The problem has the word “or” in it.

The graphs of the solutions will go in opposite directions or one single direction.

• 3. Only one of the inequality problems have to be true for a disjunction problem.

5 3 2 2 2 4x or x x 4.

Additional examples

Pg 29 SP 2 – 10 even, 29 – 33, 41 – 49 odd

5. 2 1 3 4 9x x and x x

6. 3 9 3 2 1 5x or x

7. 3 4 2 < 6x