Question

Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true?

• A. Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive.
• B. Kayla is correct. The distance between 0 and a number is always more than the number.
• C. Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers.
• D. Kayla is incorrect. The absolute value of $0$ or a positive number is equal to the number.

Answer 1

The correct option is D

Kayla is incorrect. The absolute value of $0$ or a positive number is equal to the number.

Explanation for the correct answer.

The Claim that Kayla has made that the absolute value of a number is always greater than the number itself is not true.

The correct statement should be,

The Absolute value of a number is always greater than or equal to the number itself is a true statement.

Symbolically,$|x|\ge x,$ if $x$ is a real number. True statement

Out of four options, given

Option (D) the claim made by Kayla is incorrect. As the absolute value of $0$ or a positive number is equal to the number.

Hence, the correct answer is option (D).