20) Isolate the variable of the following inequality:
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To isolate the variable in an inequality, start by getting the variable on one side and the constants on the other. For example, if you have an inequality like \(2x + 5 < 15\), begin by subtracting 5 from both sides to get \(2x < 10\). Then, divide by 2 to find \(x < 5\). Remember to keep the inequality sign appropriately when multiplying or dividing by negative numbers! One common mistake is forgetting that when you multiply or divide an inequality by a negative number, you must flip the inequality sign. For instance, if you end up with a negative variable from both sides, ensure you flip that inequality! This little detail can change the whole solution, so keep your eyes peeled!