Answer:
5x + 0x > 12: This equation simplifies to 5x > 12.
5x > 2: This equation remains as 5x > 2.
0x < 12: This equation simplifies to 0, which doesn't provide any additional information.
Now, let's combine the relevant equations:
We have:
5x > 12
5x > 2
Both inequalities are about 5x, so you can solve for x by dividing both sides of each inequality by 5. However, you must remember to reverse the inequality signs when dividing by a negative number:
For the first inequality:
5x > 12
Divide both sides by 5:
x > 12/5
For the second inequality:
5x > 2
Divide both sides by 5:
x > 2/5
Now, you have two inequalities:
x > 12/5
x > 2/5
To satisfy both of these inequalities simultaneously, x must be greater than the maximum value of 12/5 and 2/5. So:
x > max(12/5, 2/5)
x > 12/5
So, the solution to the system of inequalities is:
x > 12/5