That's My Homework But I don't Get it... [Linear Inequalities]
Please Help Thank you.. :)

(Take Home Quiz)

1
Are you sure you've got the given correct in D?
i think it's just right. because if we substitute the value of x which are 2 and 3 we get the value of -1 and 0 which are greater than -2 and less than 1. I hope i'm right :D
in the second thought i have misread it again haha... xD

Answers

The Brainliest Answer!
2014-11-13T22:00:02+08:00
For you to have the answer in this kind of problems, have it in partition. Solve one inequality at a time.
A.)  5 ≤ 3x - 4 < 8
   First partition:
      5 ≤ 3x - 4
      transpose 4 to the left
      5 + 4 ≤ 3x 
      9 ≤ 3x
      divide the inequality with 3
      3 ≤ x
   Second Partition:
      3x - 4 < 8
      transpose 4 to the right
       3x < 8 + 4
       3x < 12
         x < 4
Therefore the answer for A is 3 ≤ x < 4

B.) -2 ≤ x + 8 < 0
   First Partition:
       -2 ≤ x + 8
        transpose 8 to the left
       -2 - 8 ≤ x 
       -10 ≤ x
    Second Partition:
       x + 8 < 0
       transpose 8 to the right
       x < -8
Therefore the answer for B is -10 ≤ x < -8

C.) 11 ≥ 5x - 6 ≥ -1
    First Part:
       11 ≥ 5x - 6
        Transpose -6 to the left
        11 + 6 ≥ 5x
         17 ≥ 5x
          17/5 ≥ x
    Second Part:
        5x - 6 ≥ -1
       transpose -6 to the right
        5x ≥ -1 + 6
        5x ≥ 5
          x ≥ 1
Therefore the answer for C is 17/5 ≥ x ≥ 1

D.) -2 > x - 3 > 1
    First Part:
       -2 > x - 3
       transpose -3 to the left
       -2 + 3 > x
        1 > x
    Second Part:
       x - 3 > 1
      transpose -3 to the right
       x > 1 + 3
       x > 4
Therefore the answer for D is 1 > x > 4
  
1 5 1
Wow, you are really a great help :) Thank you So much. :D
I have doubts for D.. x can't be greater than 4 but less than 1.. what number could that be? (-_-).. i think you have copied not the right given
it's just too odd..
Well... It's actually my classmate's notes..
The bell already rang and it was dismissal but I wasn't done copying... he promised he'd let me copy his notes but when we got down we both forgot cause we passed a bunch of other subject activity papers.... So I'm glad he remembered and posted it :) hehe... Sorry I'm not sure either...