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Answer
The solution to the inequality -x ≥ 2 is x ≤ -2.
Solution
To solve the inequality -x ≥ 2, follow these steps:
1. Start with -x ≥ 2.
2. Multiply both sides of the inequality by -1. Remember, multiplying (or dividing) an inequality by a negative number reverses the inequality sign:
x ≤ -2
So, the solution to the inequality is x ≤ -2.
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Simplify this solution Beyond the Answer
To solve the inequality \( -x \geq 2 \), you first need to isolate \( x \). Start by multiplying both sides by -1, remembering that this reverses the inequality sign. So, you get \( x \leq -2 \). This means that any value less than or equal to -2 is a solution to the inequality! In terms of real-world applications, inequalities like this are often used in budgeting or resource allocation situations. For example, if you know that you have to spend more than $2 in a particular category, understanding how much you can allocate or save becomes crucial. This approach helps in making informed financial decisions!
