Which choice best describes the solution set?
12x - 3 > 15x or - 0.2x + 10 < 5
The solution set is the set of values for x that satisfy either 12x - 3 > 15x or -0.2x + 10 < 5. The solution set can be found by solving each inequality separately and then finding the values of x that satisfy either one or both of the inequalities.
For 12x - 3 > 15x:
Subtracting 15x from both sides, we get:
-3x - 3 > 0
Add 3 to both sides, yielding:
-3x > 3
Dividing both sides by -3 (and reversing the inequality), we obtain:
x < -1
For -0.2x + 10 < 5:
Subtracting 10 from both sides, we have:
-0.2x < -5
Dividing both sides by -0.2 (and reversing the inequality), we get:
x > 25
So the solution set is x < -1 or x > 25.