Answer
$[-\frac{3}{5},\infty)$
See graph.
Work Step by Step
Step 1. $5x+3\ge0 \Longrightarrow 5x\ge-3 \Longrightarrow x\ge-\frac{3}{5} $ or $[-\frac{3}{5},\infty)$
Step 2. See graph.
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