137Chapter 5Graph the inequalities on the same number line.n,33 n.3 n.23 Find the intersection.The range of values that fit all three inequalitiesis 3,n,33.12. Given:PwQw'plane MProve:PwQwis the shortest segment from Pto plane M.Proof:By definition,PwQwis perpendicular to plane Mif it is perpendicular to every line in Mthat intersects it. But since the perpendicularsegment from a point to a line is the shortestsegment from the point to the line, thatperpendicular segment is the shortest segmentfrom the point to each of these lines. Therefore,PwQwis the shortest segment from Pto M.13.B; Let xbe the length of each of the congruentsides of the triangle.x1x¬.10x110¬.x2x¬.1010¬.0 true for allxx¬.5The side length xis a whole number greater than 5. The smallest number xfor which this istrue is 6. Thus, the answer is choice B.Pages 264–265Practice and Apply14.112¬.
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