Question 557982
{{{ -3t >= -t + 3 + 9t }}}
Add {{{ 3t }}} to both sides
{{{ 0 >= 3t - t + 3 + 9t }}}
Subtract {{{ 3 }}} from both sides
{{{ -3 >= 3t - t + 9t }}}
{{{ -3 >= 11t }}}
{{{ -(3/11) >= t }}}
Reading the equation from right to left:
{{{ t <= -(3/11) }}}
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Check:
{{{ t = -(3/11) }}}
{{{ -3t >= -t + 3 + 9t }}}
{{{ -3*(-3/11) >= 8*(-3/11) + 3 }}}
{{{ 9 >= -24 + 33 }}}
{{{ 9 >= 9 }}} true
now check for something less than {{{ -(3/11) }}},
like {{{ -(4/11) }}}
{{{ -3*(-4/11) >= 8*(-4/11) + 3 }}}
{{{ 12 >= -32 + 33 }}}
{{{ 12 >= 1 }}} true