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The sum of all natural numbers which satisfy the simultaneous inequations $$x+3<4+2x$$ and $$5x-3<4x-1$$ is
Correct Answer: 1
The first inequality gives $$x>-1$$, while the second gives $$x<2$$. Thus $$-1<x<2$$. The only natural number in this interval is $$x=1$$, so the required sum is $$1$$.
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