Question 62569
Solve the inequality.  Collect the xs on the left side.  Write the solution set in interval notation: 

{{{(-1/3)x<5+(2/3)x}}}
{{{(-1/3)x-(2/3)x<5+(2/3)x-(2/3)x}}}
{{{(-3/3)x<5}}}
{{{-1x<5}}}
{{{-1x/-1>5/-1}}}  Flip the inequality whenever you multiply or divide by a negative number.
{{{x>-5}}}
Interval notation (-5,infinity)
***Infinity looks like a sideways 8****
:

 
Solve the inequality.  Collect the xs on the left side.  Write the solution set in interval notation: 

(4/3)(x + 1)  (1/2)(x - 3)
You forgot the inequality symbol, let me know what it is and I'll work this one too.
Happy Calculating, I'll be looking for your response to work the last one.