SOLUTION: I need a breakdown of the functions (add/multiply/division, etc.) on how to arrive at the solution for the following equation (inequality): 4x + 2 – 6x < -1 I have this compl

Algebra.Com
Question 512468: I need a breakdown of the functions (add/multiply/division, etc.) on how to arrive at the solution for the following equation (inequality):
4x + 2 – 6x < -1
I have this completed process, but i cannot figure out what was done and define each step and how they arrived at the solution:
4x + 2 - 6x < -1
(4x + 6x) + 2 < -1
(4 - 6) x + 2 < -1
-2x + 2 < -1
-2 -2
-2x < -3
-2 -2
x > 3/2

Answer by John10(297)   (Show Source): You can put this solution on YOUR website!
Hint: your second step is not correct when you collected the x terms
It should be like below:
4x + 2 - 6x < - 1
(4x - 6x) + 2 < -1
-2x + 2 < - 1
-2x < -1 - 2
-2x < -3
-2x/-2 < -3/-2 (divide both sides by -2)
x > 3/2 (because you divided the NEGATIVE number, you have to change the inequality sign)
The final solution is x > 3/2 or interval is (3/2, inf)
John10:)

RELATED QUESTIONS

I have on hand 98% alcohol. How much sterile water do I need to add to arrive at a... (answered by ptaylor)
how much of a 30% solution would you need to make 50 ml of a 2% solution? I need the... (answered by richwmiller)
The number of monthly breakdown of a computer is a random variable with an average... (answered by rothauserc)
PLEASE SOLVE THIS QUESTION FROM LINEAR EQUATIO IN TWO VARIABLES ITS TROUBLING ME A LOT... (answered by longjonsilver)
how to breakdown the cost of a dollar cup of coffee into percentages representing a pie... (answered by stanbon)
I need to preform the following calculations: e^-2.15. Can I get a step by step... (answered by Alan3354)
I have been hitting and missing on most of the online tutorials and I need some... (answered by sdmmadam@yahoo.com)
I just need the basic step by step breakdown of the following:... (answered by ewatrrr)
How do I go about solving the following? 1/2x+y=7/6, x+2y=4.5 The answer is no... (answered by FrankM)