Question 1203747



A) 

{{{12 < x + 5 }}} or {{{x - 3 < -2}}}
 
{{{12-5 < x }}}
{{{x>7}}}

 or 
{{{x - 3 < -2}}}
{{{x  < -2+3}}}
{{{x  < 1}}}

solution

{{{x>7}}} or {{{x  < 1}}}

link to a number line:

<a href="https://ibb.co/f2LhmRV"><img src="https://i.ibb.co/f2LhmRV/download.gif" alt="download" border="0"></a>


Interval notation

({{{7}}},{{{ infinity}}})

({{{-infinity}}},{{{1}}})


B)

 {{{15 <-3x + 6 <=9 }}}
{{{15 -6<-3x + 6-6 <=9 -6}}}
{{{9 <-3x  <=3}}}
{{{3 <-x  <=1}}}
{{{-3>x>=-1}}}

Answer: statement above is
{{{FALSE}}}

so, no solution