Find natural $x$ which satisfy the system of inequality:
$x + 3 < 4 + 2 x, 5 x - 3 < 4 x - 1$

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Solution

$(1) x + 3 < 4 + 2 x$
$x > - 1$
$x ε (- 1, \infty)$
$(2) 5 x - 3 < 4 x - 1$
$x < 2$
$x ε (- \infty, 2)$
$x ε (- 1, 2)$

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