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The Deep Dive
To solve the inequality \( -5 > b \), you can think of it as saying that \( b \) must be less than \(-5\). This means any number less than \(-5\) would satisfy the inequality. For example, numbers like \(-6\), \(-10\), or even \(-100\) will all work. Just remember, \( b \) is free to roam down the number line to the left of \(-5\)! When working with inequalities, one common mistake is treating them like equations. Remember, you cannot just add, subtract, multiply, or divide both sides without considering the direction of the inequality! For instance, if you multiply or divide by a negative number, you must flip the inequality sign. So, keep an eye on those signs!