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Work Shown:
-6 > 3x-15
3x-15 < -6
3x < -6+15
3x < 9
x < 9/3
x < 3
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Explanation:
In the second step, I swapped both sides. This means the inequality sign flips as well. In other words, A > B is the same as B < A.
The inequality sign does not flip from this point forward. It would only flip if we were to multiply or divide both sides by a negative number. For example, the inequality -2x > 10 solves to x < -5.
To solve 3x-15 < -6, we first add 15 to both sides. Then we divide both sides by 3.
If you want to graph this solution on a number line, then plot an open hole at 3. Then shade to the left to visually describe all numbers smaller than 3. The value 3 itself is not part of the solution set.
You can use a tool like WolframAlpha or GeoGebra to confirm the answer.
