Question

QUESTION 1 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 ____. QUESTION 2 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 Why it is incorrect: b. Solve the inequality correctly.

Answer 1

Answer: i only know question one so here

The first mathematical error occurred going from line __3__ to line _4___.

Why it is incorrect:  

It is incorrect because the minus sign was not properly distributed. Line 4 should be ...

 5 -2x +6 ≤ 4x -8

a.  

The second mathematical error occurred going from line ___5_ to line 6____.

Why it is incorrect:

It is incorrect because 1 was added on the left and subtracted on the right. The same number needs to be added or subtracted on both sides.

 

b. Solve the inequality correctly.

 5 -2x +6 ≤ 4x -8---------------correct line 4

11 -2x ≤ 4x -8------------ combine constants

  19 -2x ≤ 4x ------------add 8

  19 ≤ 6x--------------- add 2x

19/6 ≤ x----------- divide by 6