Pre-Calculus Homework Solutions 31

# Pre-Calculus - 50 C The contrapositive of a statement always has the same truth value as the statement 51 B let x be the number of girls in class

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50. C; The contrapositive of a statement always has the same truth value as the statement. 51. B; let x be the number of girls in class. Then there are 32 2 x boys in class. } 32 x 2 x } 5 ¬ } 5 3 } 3 x 5 ¬ 5(32 2 x ) 3 x 5 ¬ 160 2 5 x 8 x 5 ¬ 160 x 5 ¬ 20 32 2 x 5 ¬ 12 Thus, there are 20 girls and 12 boys in class, so there are 20 2 12 or 8 more girls than boys. Page 80 Maintain Your Skills 52. George Washington was the first president of the United States and a hexagon has 5 sides. p ` q is false because p is true and q is false. 53. A hexagon has five sides or 60 3 3 5 18. q ~ r is false because q is false and r is false. 54. George Washington was the first president of the United States or a hexagon has five sides. p ~ q is true because p is true. 55. A hexagon doesn’t have five sides or 60 3 3 5 18. , q ~ r is true because , q is true. 56. George Washington was the first president of the United States and a hexagon doesn’t have five sides. p `, q is true because p is true and , q is true. 57. George Washington was not the first president of the United States and 60 3 3 Þ 18. , p r is false because , p is false and , r is true. 58. AB 5 CD ; AD 5 BC 59. The sum of the measures of the angles in a triangle is 180. 60. n
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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