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Question
0.2 solve & graph inequalities
solve and graph the inequality.
5x - 3 ≥ - 23
Step1: Add 3 to both sides
$5x-3 + 3\geq - 23+3$
$5x\geq - 20$
Step2: Divide both sides by 5
$\frac{5x}{5}\geq\frac{-20}{5}$
$x\geq - 4$
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The solution of the inequality is $x\geq - 4$. To graph it, draw a closed - circle at $-4$ on the number line (because the inequality is $\geq$) and shade to the right of $-4$.