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17) \( -5>b \)

Ask by Whittaker Clark. in the United States
Feb 26,2025

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Answer

\( b < -5 \)

Solution

To solve the inequality \( -5 > b \), we can rewrite it in a more standard form: 1. Rewrite the inequality: \[ b < -5 \] This means that \( b \) can take any value that is less than \(-5\). ### Conclusion: The solution to the inequality \( -5 > b \) is: \[ b < -5 \] This indicates that \( b \) can be any number less than \(-5\).

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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!

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