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Math 113

Compound Inequalities

QuestionAnswer
Compound Inequalities Two inequalities joined by the words AND or OR.
Intersection The solution set of a compound inequality formed by the word AND.
Union The solution set of a compound inequality formed by the word OR.
Two inequalities joined by the words "and" or "or" are called __________ __________ . compound inequalities
The word __________ means intersection. and
The word __________ means union. or
The symbol __________ represents intersection.
The symbol __________ represents union. U
The symbol __________ is the empty set. Ø
Find A ∩ B, if A = {x|x is an odd number greater than 0 and less than 10} and B = {1, 2, 3, 4} {1, 3}
Solve in compound form: x + 3 < 8 and 2x - 1 < 3 2 ≤ x and x 5 ≤
Solve in compact form: x + 3 < 8 and 2x - 1 < 3 2 ≤ x ≤ 5
Solve in interval notation: x + 3 < 8 and 2x - 1 < 3 [2, 5]
Solve in interval notation: 3 < 5 < - x < 9 (-4, 2)
Solve in interval notation: -4 ≤ x/2 - 1 ≤ 3 (-3,4)
Solve in interval notation: -4 ≤ x/2 - 1 ≤ 3 [-3, 4]
Solve: 8x + 5 ≤ 3 or x - 1 ≥ 2 (-∞, 3/8] U [3, ∞)
Created by: grimaldi