SOLUTION: Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set. 0 < (3x + 6)^(-1) < (1/3)

Algebra ->  Graphs -> SOLUTION: Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set. 0 < (3x + 6)^(-1) < (1/3)       Log On


   



Question 1208861:
Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set.

0 < (3x + 6)^(-1) < (1/3)


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
0%3C1%2F%283x%2B6%29%3C1%2F3

multiply through by positive number, 3

3%2A0%3C3%2F%283%28x%2B2%29%29%3C3%2A%281%2F3%29

0%3C1%2F%28x%2B2%29%3C1

For being positive, x%3C%3E-2 and x%3E-2, but further than just that,
x%2B2%3E1
x%3E1-2
x%3E-1--------statement of answer

(-1, oo) interval notation


<-----------------()======================================>
                  -1               0