Answer:
We get that x > -5
Explanation:
1. Split up the inequality into two parts
We think of it as a > b > c and know that it is the same as a > b and b > c.
Apply this to the compound inequality
3x + 2 > 2x-3 and 2x - 3 > x - 12
2. Start solving 3x + 2 > 2x-3
Subtract 2x from both sides
x + 2 >-3
Subtract 2 from both sides
x > -5
3. Start solving 2x - 3 > x - 12
Subtract x from both sides
x - 3 > -12
Add 3 to both sides
x > -9
4. Finish
Now we have to think how we started with 3x + 2 > 2x-3 and 2x - 3 > x - 12
Since it is an and we need to identify the interval in which it is true on both inequalities which is when the x overlap. In this case is from x > -5.