Question
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  1. Solve. List all answers in interval notation.
    a)

Ask by Powers Gardner. in the United States
Jan 22,2025

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Answer

All real numbers satisfy the inequality.
Interval notation: 

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Extra Insights

To solve the inequality , first divide both sides by -4, remembering to flip the inequality sign: . Since is always non-negative, this inequality is always true for all real numbers. Therefore, the solution in interval notation is .
If you want to visualize it, you can imagine the entire number line as your playground! Every real number is a valid solution since squaring any real number will always yield a result greater than or equal to 0, satisfying the condition.

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