emster128
emster128 emster128
  • 02-03-2017
  • Mathematics
contestada

Prove that for every two positive integers a and b that
\((a+b)(\frac{1}{a}+\frac{1}{b}) > or = 4\)

Respuesta :

SyntaxError
SyntaxError SyntaxError
  • 02-03-2017
[tex]\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) \\ 1+a/b+b/a + 1 \geq 4 [/tex][tex]\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) [/tex]

distributed 

choose 1 as your lowest positive integer

plug 1 into a and b

1 + 1 + 1 + 1[tex] \geq 4[/tex]

Answer Link

Otras preguntas

How is the product 5 multiply 5 multiply 5 multiply 5 expressed in exponential notation.
The most common foot in English poetry is the _____. iamb trochee anapest dactyl spondee
raise 2/7 to a fraction with denominator of 28.
The trustworthiness of a speaker adds to the speaker's A. emotional appeal. B. ethical appeal. C. verbal appeal. D. appeal to reasoning.
Which sentence uses hyphens correctly? I ordered two sugar-coated-pies. The pie was sugar-coated. I ordered two sugar-coated pies. The ordered pie was sugar-coa
Bacteria are important in sewage disposal because they _____. A. Neutralize Sewage B. from Vacuoles In Sewage C. Digest Sewage D.From Membranes around toxins in
How many years did it take the continental United States to grow to its present size?
To punish is to _____ize someone. Change the middle letter. The word before is pedal.
Did the caste system negatively affect women?
Which conservation effort helps to conserve trees? A. melting down glass bottles B. recycling newspapers C. reusing tin cans D. driving a hybrid car