Pre-Calculus Homework Solutions 135

# Pre-Calculus Homework Solutions 135 - Graph the...

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137 Chapter 5 Graph the inequalities on the same number line. n , 33 n . 3 n .2 3 Find the intersection. The range of values that fit all three inequalities is 3 , n , 33. 12. Given: P w Q w ' plane M Prove: P w Q w is the shortest segment from P to plane M . Proof: By definition, P w Q w is perpendicular to plane M if it is perpendicular to every line in M that intersects it. But since the perpendicular segment from a point to a line is the shortest segment from the point to the line, that perpendicular segment is the shortest segment from the point to each of these lines. Therefore, P w Q w is the shortest segment from P to M . 13. B; Let x be the length of each of the congruent sides of the triangle. x 1 x ¬ . 10 x 1 10 ¬ . x 2 x ¬ . 10 10 ¬ . 0 true for all x x ¬ . 5 The side length x is a whole number greater than 5. The smallest number x for which this is true is 6. Thus, the answer is choice B. Pages 264–265 Practice and Apply 14. 1 1 2 ¬ .
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