Solve the formula D=a+b−c for b in general.
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The inequality is -12x + 3y > 9.
PART A:
The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.
Thus inequality for no solution is, -12x + 3y < 9.
PART B:
For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,
Thus inequality for infinite many solution is 12x - 3y < -9.