To solve this inequality, we need to simplify both sides and then isolate the variable x.
Starting on the left side of the inequality:
0.8x + 0.2 - 0.3x= 0.8x - 0.3x + 0.2= 0.5x + 0.2
Now simplify the right side of the inequality:
76.2 - 0.1x + 0.6x= 76.2 + 0.5x
So the inequality becomes:
0.5x + 0.2 > 76.2 + 0.5x
Subtracting 0.5x from both sides:
0.2 > 76.2
This inequality is not possible: 0.2 cannot be greater than 76.2. Therefore, there is no solution to the given inequality.
To solve this inequality, we need to simplify both sides and then isolate the variable x.
Starting on the left side of the inequality:
0.8x + 0.2 - 0.3x
= 0.8x - 0.3x + 0.2
= 0.5x + 0.2
Now simplify the right side of the inequality:
76.2 - 0.1x + 0.6x
= 76.2 + 0.5x
So the inequality becomes:
0.5x + 0.2 > 76.2 + 0.5x
Subtracting 0.5x from both sides:
0.2 > 76.2
This inequality is not possible: 0.2 cannot be greater than 76.2. Therefore, there is no solution to the given inequality.