Question 914659

range of values for {{{x}}} for triangle with sides {{{2x}}}, {{{4x}}} and {{{3x + 5}}}:

{{{2x>0}}} => {{{x>0}}} 

{{{4x>0}}} => {{{x>0}}} 
{{{3x+5>0}}} => {{{3x>-5}}} => {{{x>-5/3}}} 
 
 The only circumstance where all three inequalities are true is when {{{x>0}}}; all {{{x}}} such that {{{x>0}}} is the answer.