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Pre-Calculus Homework Solutions 31

# Pre-Calculus Homework Solutions 31 - 50 C The...

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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 x boys in class. 32 x x ¬ 5 3 3 x ¬ 5(32 x ) 3 x ¬ 160 5 x 8 x ¬ 160 x ¬ 20 32 x ¬ 12 Thus, there are 20 girls and 12 boys in class, so there are 20 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 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 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
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