Answer
$x\lt3$
Work Step by Step
$4x+3\lt3x+6\longrightarrow$ subtract 3x from each side
$4x+3-3x\lt3x+6-3x\longrightarrow$ subtract
$x+3\lt6\longrightarrow$ subtract 3 from each side
$x+3-3\lt6-3\longrightarrow$ subtract
$x\lt3$
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