QUESTION IMAGE
Question
solve the inequality and graph the solution on the line provided.
-5x + 3 ≥ -22
answer
attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
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Step1: Subtract 3 from both sides
$-5x+3 - 3\geq - 22-3$
$-5x\geq - 25$
Step2: Divide both sides by -5 and reverse the inequality sign
Since dividing by a negative number, the inequality sign flips. $\frac{-5x}{-5}\leq\frac{-25}{-5}$
$x\leq5$
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$\leq$
$x\leq5$
On the number - line, you would draw a closed circle at 5 (because the inequality includes equality, i.e., $\leq$) and shade the line to the left of 5.