SOLUTION: Professor I'm having trouble with solving absolute value equations and inequalities. Hopefully this is clear. /z-2/ > 0 (A) - infinity, +infinity. (B) 0 (C) 2,-2 or (D)

SOLUTION: Professor I'm having trouble with solving absolute value equations and inequalities. Hopefully this is clear. /z-2/ > 0 (A) - infinity, +infinity. (B) 0 (C) 2,-2 or (D) - infi

Question 647543: Professor I'm having trouble with solving absolute value equations and inequalities. Hopefully this is clear. /z-2/ > 0
(A) - infinity, +infinity. (B) 0 (C) 2,-2 or (D) - infinity, 2 and 2, infinity
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
= and
i)

ii)

Recall when dividing or multiplying by a negative number, it switches the way the inequality points.

So we have that z<2 and z>2. The answer may be clearer if we put this in interval notation.
So z exists in (-infinity,2) U (2,infinity). U is the union of sets symbol.
D.

RELATED QUESTIONS
Your question: Professor I'm having trouble with solving absolute value equations and... (answered by swincher4391)

The problem I am having trouble with is 3|3x|-7=2. The lessen is over solving... (answered by jim_thompson5910)

i'm having trouble with my homework on solving absolute value equations. I am taking... (answered by College Student,edjones)

i am having trouble with solving rational inequalities. especially ones like this: x+1/3... (answered by rfer)

Why should we clear fractions when solving linear equations and inequalities? Demonstrate (answered by richard1234)

Professor I'm doing solving absolute value equations. And I know u have to do the... (answered by Edwin McCravy)

Hi, my name is Grace Rogers and I am having trouble with my inequalities. I'm not sure... (answered by Fombitz)

Can you explain absolute value to me? I need help solving this problem. -6+2. I think the (answered by prince_abubu)

z^2 + 12z + 15 = 0 I tried in the Quadractic having trouble solving... (answered by checkley77)