Can someone asap i can't figure this out and i lost my notes
the following is a student solution to the inequality

5/12-(x-3)/6≤(x-2)/3

5/12-2/2*(x-3)/6≤4/4*(x-2)/3

5/12-(2x-6)/12≤(4x-8)/12

5-2x-6≤4x-8

-1-2x≤4x-8

-6x≤-9

x≥3/2

there are two mathematical errors in this work. identify at what step each mathematical error occurred and explain why it is mathematically incorrect.

the first mathematical error occurred going from line to line

why it is incorrect:

the second mathematical error occurred going from line to line

why it is incorrect:

solve the inequality correctly.

question 2(5 points) same solutions?
which of the following equations have the same solution? give reasons for your answer that do not depend on solving the equations.
-(7-4x)=9

12=-4(-6x-3)

5x+34=-2(1-7x)

14=-(x-8)

-8=-(x+4)

x+5=-5x+5

Question 1:

The first error occurred going from line 2 to line 3. It is wrong because 6 was multiplied by 2 while 4/4*(x-2)/3 was not.

The second error occurred going from line 5 to line 6. It is wrong because while taking -1 to the other side, it becomes +1, and -8 + 1 = -7, not -9.

Question 2:

Equations 1, 3 and 5 have the same solution 4 and equations 2 and 6 have the same solution 0.

-(7-4x)=9

4x-7=9

4x=9+7

4x=16

x=4

12 = -4(-6x-3)

12/-4 = -6x-3

-3 = -6x-3

-6x=0

x=0

5x + 34 = -2(1-7x)

5x + 34 = 14x - 2

9x - 36 = 0

9x = 36

x = 4

14 = -x + 8

x=8-14

x=-6

-8 = -x-4

x = -4 +8

x=4

x + 5 = -5x + 5

6x = 0

x = 0

Question 1:

The first error occured going from line 3 to line 4.

Why its incorrect:

instead of " ...  -(2x-6) ... -->  -2x + 6 .. .", he writes that

" ...  -(2x-6) ... -->  -2x - 6 .. .". In other words he multiplied by -1 without changing the sign.

The second error can be found going from line 5 to line 6.

Why its incorrect:

- 1 - 2x ≤ 4x - 8

- 1 - 2x + 1 ≤ 4x - 8 + 1

-2x ≤ 4x - 7

-2x -4x ≤ 4x - 4x - 7

-6x ≤ -7

Solving the inequality correctly:

5/12-(x-3)/6≤(x-2)/3

5/12-2/2*(x-3)/6≤4/4*(x-2)/3

5/12-(2x-6)/12≤(4x-8)/12

5-2x+6≤4x-8

11-2x≤4x-8

11 + 8≤ 4x + 2x

6x ≥  19

x ≥  19/6

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it