SOLUTION: Please help! Solve each compound inequality. State the solution set using interval notation and graph it. -1/2x <6 or 2/3x< 4

Algebra ->  Inequalities -> SOLUTION: Please help! Solve each compound inequality. State the solution set using interval notation and graph it. -1/2x <6 or 2/3x< 4      Log On


   

Question 92973: Please help! Solve each compound inequality. State the solution set using interval notation and graph it.
-1/2x <6 or 2/3x< 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-1%2F2%29x+%3C6 or %282%2F3%29x%3C+4


x+%3E-12 Multiply both sides by -2, this means you flip the sign

x%3C+6 Multiply both sides by 3%2F2

Now combine the two inequalities into one
-12%3Cx%3C6

So the solution set is -12%3Cx%3C6

which is (-12,6) in interval notation