Solve out following inequalities. Give both inequality & interval notation forms for the solution.
-14 < -7 (3x + 2) < 1
Solution
-14 < -7 (3x + 2) < 1
-14< -21x -14 < 1
0 < -21x < 15
Don't get excited regarding the fact that one of the sides is zero now. It isn't a problem. Again, as with the last part, we'll be dividing through a negative number and thus don't forget to switch the direction of the inequalities.
0 > x> -15 /21
0 > x> 5/7 OR - 5/7
The interval notation of the solution is ( -5/7,0)