SOLUTION: Given 3x+bx-8> -14, determine the largest integer value of b when x=-2 Please tell the largest integer value and please helps me understand what it means. I plugged in the -2

Algebra.Com
Question 1182814: Given 3x+bx-8> -14, determine the largest integer value of b when x=-2
Please tell the largest integer value and please helps me understand what it means.
I plugged in the -2 first
3(-2)+b(-2)-8> -14
Then I simplified
-6-2b-8> -14
Then I added by 8 on both sides
-6-2b>-6
Then added 6
-2b>0
Then divided by -2 and got
b>0
What would the largest integer value be?

Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Given 3x+bx-8> -14, determine the largest integer value of b when x=-2 
Please tell the largest integer value and please helps me understand what it means.  
I plugged in the -2 first 
3(-2)+b(-2)-8> -14 
Then I simplified 
-6-2b-8 > -14 
Then I added by 8 on both sides 
-6-2b > -6 
Then added 6 
-2b > 0 
Then divided by -2 and got 
b > 0      <-- THAT'S WRONG!  IT SHOULD BE b < 0
            WHEN YOU DIVIDE AN INEQUALITY THROUGH BY A NEGATIVE
            NUMBER, YOU MUST REVERSE THE INEQUALITY SYMBOL.  
What would the largest integer value be?

           The largest integer that is less than 0 is -1.

Edwin

RELATED QUESTIONS

2 (answered by Alan3354)
If -6 ≤ -3x-3 ≤ 12, what is the largest possible integer value of... (answered by josgarithmetic)
If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are... (answered by stanbon)
If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are... (answered by robertb)
If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are... (answered by robertb)
When 1000 is divided by some positive integer x, the remainder is 45. What is the sum of... (answered by ikleyn)
if x² < x , then what is the largest integer value of 2x+7 ? a.6 b.7 c.8 (answered by ikleyn)
Given that x is smaller than or equal to 14/1/2 (14 whole 1 over 2), state the largest... (answered by richard1234)
The largest value of b for which x^2+bx+32 can be factored over the integers... (answered by Alan3354)