Answer the question or solve the problem.If a < b, is it always true that
>
? Explain.
What will be an ideal response?
No. The second statement only follows from the first if a and b are either both positive or both negative. Divide both sides of the original inequality by (ab). If a and b are of opposite signs, then (ab) < 0. When dividing by a negative number, the inequality sign must be reversed (thus, >
, and
>
).In addition, if a (or b) is zero, then its reciprocal is undefined. (Explanations will vary. )
You might also like to view...
Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere and on the sides by the cylinder
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration
.
A.
B.
C.
D.
Identify the statement as simple or compound.Trevor wanted to attend the meeting, but he had to go to the party.
A. Simple B. Compound
Perform the modular arithmetic operation.42 - 29 (mod 4)
A. 1 B. 0 C. 52 D. 2
Factor the expression completely, if possible.x2 - 169
A. (x + 13)2 B. (x + 13)(x - 13) C. (x - 13)2 D. Does not factor