Answer
$[6,∞ )$
Work Step by Step
Break down the parentheses on the left side and combine the terms. Then add subtract $-2$ and add $2x$ on both sides.
$1-(x+3)\geq4-2x$
$1-x-3\geq4-2x$
$-2-x\geq4-2x$
$x\geq6$
$[6,∞ )$
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