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Answer
The solution to the inequality \( 5 \geq -a \) is \( a \geq -5 \).
Solution
To solve the inequality 5 ≥ -a, follow these steps:
1. Start with the given inequality: 5 ≥ -a.
2. Multiply both sides of the inequality by -1. Remember that multiplying an inequality by a negative number reverses the direction of the inequality sign:
- Multiplying gives: -5 ≤ a.
3. Rearranging, we have: a ≥ -5.
Thus, the solution to the inequality is a ≥ -5.
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Simplify this solution The Deep Dive
Let's flip the inequality to make it easier to interpret. If \(5 \geq -a\), this can be rewritten as \(-a \leq 5\). To isolate \(a\), we multiply both sides by -1, remembering to reverse the inequality sign, leading us to \(a \geq -5\). This means that \(a\) can take any value that is greater than or equal to -5. Whenever working with inequalities, double-checking is key! A common mistake is forgetting to flip the inequality sign when multiplying or dividing by a negative number. Always keep that in mind so you can steer clear of those pesky errors while solving problems.
