Question

Compare 4 and -2. Which of the following is true?

Answer 1

Your answer is A.

Explanation:

Absolute values of any number are positive.

|4| = 2

|-2| = 2

2 = 2 and 4 > -2

C and D can be true, but they are not since less than or greater than doesn't apply if they were less than/greater than or equal, then yes.

Answer 2

The C. (|4|>|-2|) and (4>-2) is true. Therefore , C. (|4|>|-2|) and (4>-2) is

correct .

To compare two numbers, we can use the following symbols:

> (greater than)

< (less than)

= (equal to)

A positive number is always greater than a negative number. So, we know that 4 is greater than -2.

We can also write this as 4 > -2.

The absolute value of a number is its distance from zero. So, the absolute value of 4 is 4, and the absolute value of -2 is 2.

We can write this as |4| = 4 and |-2| = 2.

Since 4 is greater than -2, we know that its absolute value must also be greater than the absolute value of -2.

We can write this as |4| > |-2|.

Therefore, the correct answer is C. (|4|>|-2|) and (4>-2).

The other answer choices are incorrect:

A. (|4|=|-2|) and (4>-2) is incorrect because the absolute values of 4 and -2 are not equal.

B. (|4|<|-2|) and (4<-2) is incorrect because the absolute value of 4 is greater than the absolute value of -2.

D. (|4|<|-2|) and (4>-2) is incorrect because both statements are not true.