Question 597653
{{{ -6x - 17 >= 8x + 25 }}}
Add {{{ 6x }}} to both sides
{{{ -17 >= 14x + 25 }}}
Subtract {{{ 25 }}} from both sides
{{{ -42 >= 14x }}}
Divide both sides by {{{ 14 }}}
{{{ -3 >= x }}}
State it from right to left
{{{ x <= -3 }}}
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check:
Make {{{ x }}} a little smaller than {{{ -3 }}}
{{{ x = -3.1 }}}
{{{ -6x - 17 >= 8x + 25 }}}
{{{ -6*(-3.1) - 17 >= 8*(-3.1) + 25 }}}
{{{ 18.6 - 17 >= -24.8 + 25 }}}
{{{ 1.6 >= .2 }}}
Now {{{ x = -3 }}}
{{{ -6*3 - 17 >= 8*(-3) + 25 }}}
{{{ 18 - 17 >= -24 + 25 }}}
{{{ 1 >= 1 }}}
OK