Questions: x ≥ -2 or x ≤ 2

Transcript text: $x \geq-2$ or $x \leq 2$

Solution

Solution Steps

Step 1: Understand the Inequality

The given inequality is $ x \geq -2 $ or $ x \leq 2 $. This means that $ x $ can be any real number that is either greater than or equal to $-2$ or less than or equal to $2$.

Step 2: Analyze the "Or" Condition

The word "or" indicates that the solution set includes all values of $ x $ that satisfy either $ x \geq -2 $ or $ x \leq 2 $. Since $ x \leq 2 $ includes all numbers less than or equal to $2$, and $ x \geq -2 $ includes all numbers greater than or equal to $-2$, the combination of these two conditions covers all real numbers.

Step 3: Conclusion

Since the two conditions $ x \geq -2 $ and $ x \leq 2 $ together cover all real numbers, the solution to the inequality $ x \geq -2 $ or $ x \leq 2 $ is the set of all real numbers.

Final Answer

$\boxed{\text{All real numbers}}$

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