Q:

can someone help 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

Accepted Solution

A:
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)=94x-7=94x=9+74x=16x=412 = -4(-6x-3)12/-4 = -6x-3-3 = -6x-3-6x=0x=05x + 34 = -2(1-7x)5x + 34 = 14x - 29x - 36 = 09x = 36x = 414 = -x + 8x=8-14x=-6-8 = -x-4x = -4 +8x=4x + 5 = -5x + 56x = 0x = 0