# hw1 - a) 3 ¶ 2 3 b) 2 ¶ 2 −¶ 3 10. Rationalize the...

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Math 2312 Homework 1 Due: Wednesday, June 2, 2010, at the beginning of class 1. Give a verbal description of the subset of real numbers represented by the inequality or interval: a) ( ,2] b) 1 < ? < 5 c) 0 ≤ ? ≤ 3 2. Evaluate: ? + 1 ? + 1 ? < 1 3. Find the distance between a and b. ± = 126 ? = 75 4. Use absolute value notation to describe the following: a) The distance between x and -10 is at least 6. b) y is at most 2 units from a 5. Evaluate: a) 2 4 2 2 2 4 1 b) 3 ² 2 (2 ² 0 ) 3 c) ³ 2 ² ´ 3 ³ 3 ² ´ 2 6. Rewrite with only positive exponents: a) ³ ? 3 ² 2 3 ´ 3 b) ³ ? 2 ² 3 ? ? 3 ²? 2 ´ 2 7. Evaluate: a) ³ 16 81 ´ 3 4 b) − ³ 1 125 ´ 4 3

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8. Simplify: a) 32 ? 4 ? 3 ? 2 b) ± 4 3 ² ³ 2 3 ² ´± 2 ³µ 1 3 ² 9. Rationalize the denominator.
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Unformatted text preview: a) 3 ¶ 2 3 b) 2 ¶ 2 −¶ 3 10. Rationalize the numerator. ¶ 6 − 2 2 11. Show that the points form the vertices of an isosceles triangle. (1,-3) (3,2) (-2,4) 12. Use algebraic tests to check for symmetries: a) ³ = ± 4 − ± 2 + 2 b) ³ = 1 ± 3 c) ±³ = 4 13. Sketch the graph of the following equations, and identify the symmetry if it exists: a) ³ = −± 2 − 2 ± b) ³ = 1 − ·±· 14. Factor completely: a) − 9 ± 2 + 6 ± − 1 b) 2 ´± + 1 µ ( ± − 2) 2 − 3 ´± + 1 µ 2 ( ± − 3) c) 5 − ± + 5 ± 2 − ± 3 d) ± 2 2 ( ± 2 + 1) 4 − ( ± 2 + 1) 5...
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## This note was uploaded on 10/07/2010 for the course MATH 2312 taught by Professor Garrett during the Summer '10 term at Richland Community College.

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hw1 - a) 3 ¶ 2 3 b) 2 ¶ 2 −¶ 3 10. Rationalize the...

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