Question 598373
{{{ (-2/5)*x -9 < 9/10 }}}
Add {{{9}}} to both sides
{{{ (-2/5)*x < 9/10 + 9 }}}
Multiply both sides by {{{ 10 }}}
{{{ -4x < 9 + 90 }}}
{{{ -4x < 99 }}}
Divide both sides by {{{ -4 }}}
This means you also have to reverse the
inequality sign
{{{ x > -99/4 }}}
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Note that {{{ -99/4 = -24.75 }}}
To check my result, I'll make {{{x}}}
a little larger than {{{ -24.75 }}}
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{{{ x = -24.74 }}}
and
{{{ (-2/5)*x -9 < 9/10 }}}
{{{ (-.4)*(-24.74) -9 < .9 }}}
{{{ 9.896 - 9 < .9 }}}
{{{ .896 < .9 }}}
OK