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Algebra II Honors Problem of the Day Homework: p. 19-20 29-32 all, 33-39 odds, 61-65 odds Place the appropriate symbol ( >, <, or = )in each blank. 1) 3____ 7 2 3) 2 ____ 3 2) 4) 2 ____ .67 3 1 .2 ____ 5 Absolute Value of Real Numbers The absolute value of a real number, a, will be shown as: a And defined as a if a ≥ 0 and – a if a < 0 . Examples: 3.2 -5 x 3 for x 3 Set Notation A 2, 3, 5, 7, 9 B whole numbers AB Names a new set that is all elements from both sets. union A B Names a new set that is all elements common to both sets. intersection A x x 3 Find the following sets: A B B x 5 x 3 A B A B x x 5 A B x 3 x 3 Algebra II Honors Problem of the Day Homework: p.20 41-59 odds, 62-66 evens Graph each of the following inequalities on a number line. Use a different number line for each question. a) x 3 b) x 2 c) 1 x 4 Interval Notation Interval notation is a way of naming an infinite set of numbers from the number line. Parentheses indicates the number next to it is not included in the set. open circle A bracket indicates the number next to it is included in the set. closed circle A comma indicates the numbers between those on either side of it. The infinity symbol means the numbers go on forever.