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Warmup: Write each number in the form a/b using integers to show that it is a rational number. 2) 7 1) 0.24 1.3B Inequalities and Absolute Value An ________ is a mathematical sentence that compares the value of two expressions using a symbol, such as < or >. a < b _____________ a > b or ______________ Also, there are three other symbols that compare two expressions: a ≤ b or a ≠ b or a ≥ b _______________ ______________ _____________ _________________ ________________ _______________ Examples: Place the correct inequality symbol (< or >) between the two expressions. 1) 7 10 2) 1/2 1/4 3) 1 5 4) Write 3/8, 1/2, and 5/12 in order from least to greatest. 1 Two numbers that are the same distance from zero on a number line but lie in opposite directions are ___________. Examples of opposites: 5 and 5 1/2 and 1/2 0.76 and 0.76 The ____________ of a number is its _____________ on a number line. The symbol for absolute value is two vertical bars around the expression. |x| This is read "the absolute value of x." Examples: a) |3| = b) |7| = c) |0| = d) |12.2| = e) |x| = 6 f) |x| = 13 g) |x| = 4 i) |x| = 0 1.3B p. 21 #2462 (E) 2 3