Answer
$[\frac{3}{5},\infty)$
Work Step by Step
Step 1. From $6x-9\geq-4x-3$, we have $10x\geq6$. Thus $x\geq\frac{3}{5}$ and in interval notation $[\frac{3}{5},\infty)$
Step 2. See graph for the interval on a number line.
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