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. )

Mathematics

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.

Mathematics

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

Mathematics

Perform the modular arithmetic operation.42 - 29 (mod 4)

A. 1 B. 0 C. 52 D. 2

Mathematics

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

Mathematics