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c) \( -x \geq 2 \)

Ask by Bowman Stuart. in the United States
Feb 26,2025

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The solution to the inequality -x ≥ 2 is x ≤ -2.

Solución

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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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!

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