Question 1011244

{{{abs(2x-5)<9 }}}

recall:{{{abs(2x-5) }}} is {{{2x-5 }}} or {{{-(2x-5) }}}

so, we have:

{{{2x-5<9 }}}
{{{2x<9 +5}}}
{{{x<14/2}}}
{{{x<17}}}

and

{{{-(2x-5)<9 }}}
{{{-2x+5<9 }}}
{{{-2x<9-5}}}
{{{-2x<4}}}
{{{x<4/-2}}}-> dividing by negative number changes sign < to >
{{{x>-2}}}

solution:

{{{-2<x<7}}}