In probability and inequalities, what does the phrase "at least 5" mean mathematically for a variable $x$?

• A. $x\ge 5$
• B. $x>5$
• C. $x<5$
• D. $x\le 5$

Answer: (A)

Verified step by step guidance

1. Understand the phrase "at least 5" in the context of inequalities. It means the value of the variable should be 5 or greater.
2. Translate the phrase into a mathematical inequality. "At least 5" means the variable x is greater than or equal to 5.
3. Write the inequality using the appropriate symbol for "greater than or equal to": \(x \geq 5\).
4. Recognize that this inequality includes the value 5 itself and all values greater than 5.
5. Compare this with other options: \(x > 5\) excludes 5, \(x < 5\) and \(x \leq 5\) represent values less than 5, so they are incorrect.