Use sets to verify the following answers

a. 4+5=9
B. 0+6=6
C. 10+2+12

I want to know if I'm doing this right. please check my answers. I'm confused on how to do this but I'm giving it a shot.

A. a+b=c
b. 0+2=a
C. 5+5+2=12

To use sets to verify the answers, you would need to represent each equation as a set and check if the elements in the sets correspond to the equation.

Let's go through each answer:

a. 4 + 5 = 9

To represent this equation as a set, you can create a set with the numbers on the left side of the equation (4 and 5) and another set with the number on the right side of the equation (9). Then, you can check if the sets are equal.

Set A: {4, 5}
Set B: {9}

To verify if Set A + Set B = Set C, do the following:

Set C = Set A + Set B = {4, 5} + {9} = {4, 5, 9}

Since Set C contains all the elements from Set A and Set B, we can say that the equation 4 + 5 = 9 is correct.

b. 0 + 6 = 6

Following the same process:

Set A: {0, 6}
Set B: {6}

Set C = Set A + Set B = {0, 6} + {6} = {0, 6}

Since Set C contains all the elements from Set A and Set B, we can say that the equation 0 + 6 = 6 is correct.

c. 10 + 2 + 12 = ?

To represent this equation as a set, you can create a set with the numbers on the left side of the equation (10, 2, and 12). Then, you can calculate the sum of the elements in the set to find the result.

Set A: {10, 2, 12}

Calculating the sum of the elements in Set A:

Sum = 10 + 2 + 12 = 24

So, the equation 10 + 2 + 12 is equal to 24, not 12.

In summary, the correct answers are:

a. 4 + 5 = 9 (correct)
b. 0 + 6 = 6 (correct)
c. 10 + 2 + 12 ≠ 12 (incorrect)

Don't worry if you got confused at first, practice and familiarize yourself with the concept of using sets to represent equations, and you'll get better at it.