order of real numbers, grade 10, question 11

27/01/2017 Grade 10 3,320

Given : 1<x<4 , -8<y<-5 and -4<m<3

  1. Compare x2 and y2 then compare

    {\left({\frac{{{x^2}+2}}{{\sqrt2-5}}} \right)^2}and{\left({\frac{{{y^2}+4}}{{\sqrt2- 5}}}\right)^2}

  2. Bound :

    \sqrt{\frac{{{y^2}-{m^2}}}{{{x^2}}}}