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. )
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Solve the problem.A hot dog stand sells hot dogs with cheese, relish, chili, tomato, onion, mustard, or ketchup. How many different hot dogs can be concocted using any 4 of the extras?
A. 210 B. 840 C. 420 D. 35
Solve graphically. 3x + 2y = 5-6x - 4y = 5
A. (-1.5, -1) B. (1.5, -1) C. (1, 1) D. No solution
Solve.Martha can rake the leaves in her yard in 5 hours. Her younger brother can do the job in 6 hours. How long will it take them to do the job if they work together?
A. 2
hr
B. 
hr
C. 6 hr
D. 30 hr
Specify the coordinates of the vertices and foci and find the equations of the asymptotes of the given hyperbola.36y2 - 9x2 = 324
A. Vertices: (±6,0); foci: (±3
, 0); asymptotes: y = ±
x
B. Vertices: (±3, 0); foci: (±6, 0); asymptotes: y = ±
x
C. Vertices: (0, ±3); foci: (0, ±3
); asymptotes: y = ±
x
D. Vertices: (0, ±3); foci: (±3
, 0); asymptotes: y = ±
x