For this case we must indicate the solution set of the given inequalities:
Subtracting 14 from both sides of the inequality we have:
Dividing by 6 on both sides of the inequality:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
Thus, the solution is given by all values of x greater than 7.
On the other hand we have:
Subtracting 15 from both sides of the inequality we have:
Dividing between 9 on both sides of the inequality we have:
Thus, the solution is given by all values of x less than -3.
Finally, the solution set is:
(-∞, - 3) U (7,∞)
Answer:
(-∞, - 3) U (7,∞)
