Question 643229
{{{ 9a-6 > 3*(a-6) }}}
You can divide both sides by {{{ 3 }}}
{{{ 3a - 2 > a - 6 }}}
Subtract {{{ a }}} from both sides
{{{ 2a - 2 > - 6 }}}
Add {{{ 2 }}} to both sides
{{{ 2a > -4 }}}
Divide both sides by {{{ 2 }}}
{{{ a > -2 }}}
-----------
check answer:
{{{ 9a-6 > 3*(a-6) }}}
I'll plug in {{{ a = -1 }}} which is greater than {{{ -2 }}}
{{{ 9*(-1) - 6 > 3*(-1-6) }}}
{{{ -9 - 6 > 3*(-7) }}}
{{{ -15 > -21 }}}
-------------
To make sure, I'll try {{{ a = -1.99 }}}
{{{ 9*(-1.99) - 6 > 3*( (-1.99) - 6) }}}
{{{ -17.91 - 6 > 3*(-7.99) }}}
{{{ - 23.91 > -23.97 }}}
OK
I don't see how the book got it's answer