Question

Let a>0, b>0. Prove that if a<b, then
1/a>1/b
​

Answer 1

a<b. given

therefore -a >-b. if if one is smaller

than two then minus one is greater than minus 2.

therefore 1/a>1/b. -a=1/a and -b =1/b. laws of indices

hence prove that one upon a is greater than one upon b