Question

determine whether the following statement is true or false. if the statement is false, make the necessary change(s) to produce a true statement. the statement \x is at most 12\ is written x < 12. choose the correct answer below. a. the statement is true because x < 12 means that x can be any value starting from negative infinity up to 12. b. the statement is false. it should be changed to x ≤ 12. c. the statement is true because the inequality symbol in the statement means that x can have values no more than 12. d. the statement is false. it should be changed to x ≥ 12.

Explanation:

Step1: Understand the meaning of "at most"

"At most 12" means x can be 12 or any value less than 12.

Step2: Analyze the inequality symbols

The symbol $x < 12$ means x is strictly less than 12, not including 12. The correct symbol for "x is at most 12" is $x\leq12$.

Answer:

B. The statement is false. It should be changed to $x\leq12$.