Question

if x=5/9 and y=9/11, prove that |x×y| = |x| × | y |

Answer 1

Given: Value of x = 5/9 and y = 9/11

To find:  Prove that | x × y | = | x | × | y |

Solution:

• Lets consider the LHS first, we have | x x y |.

• Now solving by normal multiplication, we get:

          | 5/9 x 9/11 |

       = | 5/11 |

      = 5/11         ...............(i)

• Now considering the RHS side, we have:  | x | × | y |

• Putting values of x and y in RHS, we get:

          | 5/9 | × | 9/11 |

        = 5/9 x 9/11

        = 5/11          ................(ii)

So from (i) and (ii), we prove that LHS = RHS.

Answer:

            So from above solution we proved that |x×y| = |x| × | y |

Answer 2

Answer:

x=5/9,y=9/11

now,|x×y|=|5/9×9/11|=|45/99|=45/99=5/11

and |x|×|y|=|5/9|×|9/11|=5/9×9/11=5/11

from the above, |x×y|=|x|×|y|

hope this answer will be helpful