Question

Which choice when added to | −5 + 7 | will equal zero?

| +5 − 7 | [ 2] − | −5 + 7 | [3] | −( −5 + 7 ) | [4] | 7 − 5 |
i know the anwser is two but how do you get it

i need it by 5/1/23 at 8pm

Answer 1

To solve this problem, we need to simplify each expression and see which one, when added to | −5 + 7 |, will equal zero.

We start by simplifying | −5 + 7 |:

| −5 + 7 | = | 2 | = 2

Now we can simplify each of the answer choices:

[2] | +5 − 7 | = | −2 | = 2
[3] | −( −5 + 7 ) | = | 2 | = 2
[4] | 7 − 5 | = | 2 | = 2

We see that only choice [2], when added to | −5 + 7 |, will equal zero:

2 + (−2) = 0

Therefore, the answer is [2] | +5 − 7 |.

Answer 2

[ 2] − | −5 + 7 |

Explanation:

Since we know that | −5 + 7 | is an absolute value, we know that the answer will be positive no matter what.

Step 1) Solve. | −5 + 7 | = 2.

Step 2) Find which other absolute value is equal to -2.

After solving [2], − | −5 + 7 | = -2, we know that the answer is choice 2.

We know this because | −5 + 7 | = 2, however, since it is multiplied by (-), it becomes -2. And 2 + (-2) = 0