Precalc0001to0005-page5

Precalc0001to0005-page5 - a and b , x , x < x +...

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(Section 0.1: Sets of Numbers) 0.1.4 PART C: SET NOTATION Set Notation ± denotes “ in ,” or “ is in .” It denotes set membership. ± denotes “ is not in .” ± denotes “ such that .” ± (the universal quantifier ) denotes “ for all ” or “ for every .” ± (the existential quantifier ) denotes “ there exists ” or “ there is .” Example Set 1 (Using Set Notation) Plain English translation 7 ± ± 7 is an integer. 1 2 ± ± 1 2 is not an integer. ± x ² ± , … For all real numbers x , … ± a , b ² ± , … For all integers
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Unformatted text preview: a and b , x , x < x + 1 Every real number is less than one added to itself. x , y x = 2 y Every real number is twice some real number. PART D: INFINITY Infinity , denoted by , is a quantity that is greater than any real number. Negative infinity , denoted by , is a quantity that is lesser than any real number. WARNING 1 : and are not real numbers, though they may be handled differently in higher math....
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