Suppose first that is a normal subgroup. Then by definition we must have for all , for every . Let and choose (). By hypothesis we have , i.e. for some , thus . So we have . You can prove in the same way.
Suppose for all . Let , we have to prove for every . So, let . We have that for some (by the hypothesis). hence we have . Because was chosen arbitrarily we have the desired
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The graph below represents y < 2 over 3x − 2 | <span>y > 2x + 2</span> system of inequalities. The answer is letter C. The rest of the choices do not answer teh qustion above