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Which is the following is always true ? ...

Which is the following is always true ?
(a) If `a lt b, " then " a^2 lt b^2`
(b ) If `a lt b "then " 1/a gt 1/b`
( c) If `a lt b , " then " |a| lt |b|`

Text Solution

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The correct Answer is:
None
is not always truye a=-4 and b=3 , given statement is not true
(b) is not always true for a = -3 and b=2 given statement is not true
(c ) is not always true for a = -5 and b =3 given statement is not true
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Knowledge Check

  • If a and b are real numbers, with a gtb and |a| lt|b| , then

    A
    `agt0`
    B
    `alt0`
    C
    `bgt0`
    D
    `blt0`