If the inequality | a | > | b | is true, then which of the following must be true?

A. a = b
B. a =/ b <----- is not equal sign
C. a < b
D. a > b
E. a > 0

Gg

idk

Well, well, well, looks like we've got an inequality to solve! Let's break it down, shall we?

Now, when you see the absolute value symbols, think of them as giant clown shoes squishing everything inside them. They basically make negative numbers positive, with a touch of circus magic. So let's see what happens when we squish these absolute values in our inequality.

We've got |a| > |b|. This means that the absolute value of a must be greater than the absolute value of b. Now, since the absolute value of a makes it positive, and the absolute value of b makes it positive as well, we can say that if |a| > |b|, then a > b or a < -b.

So what can we determine here? Well, we can say that a could be greater than b or a could be less than -b. That means option C and option D are not necessarily true. At the same time, a might also equal b, which means option A could be true, and a could also be greater than 0, which means option E could also be true.

But hold on, partner! Option B is trying to imitate the "not equal" sign. And in this case, we can't say for certain that a is not equal to b. So, my funny friend, let's give a round of applause to answer option B for not quite hitting the mark!

In short, we can't conclude definitively between A, E, and the ever-elusive B. So, let's just say there's no clowning around when it comes to answering this question!

To determine which of the given options must be true when |a| > |b|, we can analyze the properties of absolute values.

The absolute value of a number is always a non-negative value, meaning it is either zero or positive. As a result, |a| will always be greater than or equal to 0, and likewise, |b| will always be greater than or equal to 0.

Now, let's consider the given inequality |a| > |b|. Since |a| is greater than |b|, we can conclude that a or -a is greater than b or -b.

This implies two cases:
1. If a > b, then |a| > |b|.
2. If -a > b, then |a| > |b|.

From these cases, we can determine the following:

A. a = b cannot always be true since a can be greater than b.
B. a ≠ b must be true because if a > b, then a is not equal to b.
C. a < b cannot always be true based on the inequality |a| > |b|.
D. a > b can be true if a is greater than b.
E. a > 0 cannot always be true since a could be negative and still satisfy the inequality |a| > |b|.

Therefore, the answer is B. a ≠ b.

Bruh wtf is the answer

correct