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Chpt.8

Compound Inequalities

QuestionAnswer
Two Inequalities joined by the words AND or OR are called? COMPOUND INEQUALITIES
The solution set of a compound inequality formed by the word and is the _____________ of the solution sets of the two inequalities. We use the____ symbol, to represent "____________". The solution set of a compound inequality formed by the word and is the intersection of the solution sets of the two inequalities. We use the ∩ symbol to represent "intersection".
A value is a _________ of a compound inequality formed by the word and if it is a solution of _________ inequalities. A value is a solution of a compound inequality formed by the word and if it is a solution of both inequalities.
The solution set of a compound inequality formed by the word _______ is the _______ of the solution sets of the two inequalities. We use the___symbol to represent the______of sets. The solution set of a compound inequality formed by the word or is the union of the solution sets of the two inequalities. We use the ∪ symbol, to represent the union of sets.
Solve: x-7<2 and 2x+1<9 First Solve each inequality separately. x-7<2 and 2x+1<9 x<9 and 2x<8 x<9 and x<4 After graphing on a number line, determine the solution, and write in interval notation. The solution set is (-∞,4)
Solve: 5x-3≤10 or x+1≥5 First Solve each inequality separately. 5x-3≤10 or x+1≥5 5x≤13 or x≥4 x≤13/5 or x≥4 After graphing on a number line, determine the solution, and write in interval notion. The solution set is (-∞, 13/5]∪(4,∞)
If A={xlx is an even number greater than 0 and less than 10} and B={2,3,4,5,6}. Find A ∪ B. Since A={2,4,6,8}, the numbers that are in either set or both sets {2,3,4,5,6,8} are the union.
Created by: oliviajpolite