Question 1026234
{{{ x^2 - 56 > x }}}
Subtract {{{ x }}} from both sides
{{{ x^2 - x - 56 > 0 }}}
{{{ ( x - 8 )*( x + 7 ) > 0 }}}
This product is greater than zero ( positive )
if both factors are (+), or
if both factors are (-)
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{{{ x > 8 }}}
{{{ x < -7 }}}
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combining these:
{{{ 8 < x < -7 }}}
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check:
Suppose {{{ x = 8 }}}
{{{ x^2 - 56 > x }}}
{{{ 8^2 - 56 > 8  }}}
{{{ 64 - 56 > 8 }}}
{{{ 8 > 8 }}}
not true
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Soppose {{{ x = -7 }}}
{{{ (-7)^2 - 56 > -7 }}}
{{{ 49 - 56 > -7 }}}
{{{ -7 > -7 }}}
not true
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You could try {{{ x = 8.1 }}}
and {{{ x = -7.1 }}}
These should satisfy the inequality
( both give TRUE results )