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\( b < -10 \)
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To solve the inequality \( -b - 2 > 8 \), you first want to isolate \( b \). Start by adding 2 to both sides: \( -b > 10 \). Now, multiply both sides by -1, which flips the inequality: \( b < -10 \). So, the solution tells us that \( b \) must be less than -10. Remember that inequalities can be a bit tricky! A common mistake is forgetting to flip the inequality sign when multiplying or dividing by a negative number. Always double-check your steps to avoid such pitfalls!
