Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Show that the statement "
is a prime number" is true for 
, but is not true for 
.
What will be an ideal response?
When 
, which is a prime number, so the statement is true when 
. When 
, 
, which is not a prime number, so the statement is not true for 
.
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A state map has county lines as shown. If the counties are to be colored and no two counties which share a border can have the same color, what is the minimum number of colors required for this map? Explain your solution.
Decide whether or not the events are commutative.Turning on the printer and printing a computer report.
A. No B. Yes
Solve the problem.A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an 
velocity of 144 ft/sec, and the gorge is 320 ft deep, during what interval can the flare be seen? 
A. 8 < t < 9 B. 12 < t < 13 C. 0 < t < 4 D. 4 < t < 5
Solve the system of equations by the elimination method. Check your solutions. For any dependent equations, write your answer in ordered pair form.
A. {(2, 3), (3, 2), (-2, -3), (-3, -2)} B. {(2, 3), (-2, 3), (2, -3), (-2, -3)} C. {(-2, -3), (-3, -2)} D. {(2, -3), (2, 3)}