Question 703282
 {{{ (1/5)x-x<16 }}}
{{{ x*( 1/5 - 1 ) < 16 }}}
{{{ (-4/5)*x < 16 }}}
I need to multiply both sides by {{{ -5/4 }}} to
get {{{ x }}} alone on the left side. Whenever you
multiply both sides by a negative number, the
sense of the inequality sign has to reverse, so
{{{ x > (-5/4)*16 }}}
{{{ x > -20 }}}
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I can check by saying {{{ x = -20 }}} which should fail
the inequality.
 {{{ (1/5)x-x<16 }}}
{{{ (1/5)*(-20) - (-20) < 16 }}}
{{{ -4 + 20 < 16 }}}
{{{ 16 < 16 }}} fails, as it should
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Now I try {{{ x = -19 }}}, which is greater than {{{ -20 }}}
 {{{ (1/5)x-x<16 }}}
 {{{ (1/5)*(-19)-(-19)<16 }}}
{{{ -19/5 + 19 < 16 }}}
{{{ -3.8 + 19 < 16 }}}
{{{ 15.2 < 16 }}} passes
OK