Answer: The graph is shown below
The graph shows an open circle at -3 on a number line; shading to the left
The given inequality solves to x < -3
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Explanation:
Subtract 3 from both sides. Then divide both sides by 5
5x+3 < -12
5x+3-3 < -12-3
5x < -15
5x/5 < -15/5
x < -3
To graph this, plot an open circle at -3. The open circle indicates "do not include this endpoint as part of the shaded solution set". We don't include the endpoint because there is no "or equal to" as part of the inequality sign. After we plot the open circle, we shade to the left to represent all values smaller than -3. See diagram below.
