solving | 5x - 1 | >= 5: how to get both parts of answer?

[jenjen]

I've tried to figure out this problem more then one way. I need help!

I5x-1I ?5

the answer i continue to get is 6/5
how do i come up with the other answer?


the answer is x? -4/5 or x? 6/5

 

[Deleted member 4993]

Re: Algebra

I've tried to figure out this problem more then one way. I need help!

I5x-1I ?5

the answer i continue to get is 6/5
how do i come up with the other answer?


the answer is x? -4/5 or x? 6/5

5x-1 >= 5                                              -(5x-1) >= 5

5x>= 6                                                   -5x >= 4

x >= 6/5                                                 x <= -4/5 
                                                              [notice the reversal of 
                                                               inequality while 
                                                               dividing by (-ve)
                                                               number]

 

[stapel]

I've tried to figure out this problem more then one way.

In order for us to find where you're gone wrong, it would be helpful (in the future) if you showed what you've done, rather than merely mentioning that you did... something. I'm afraid it is rather difficult to trouble-shoot work that we cannot see. :wink:

Thank you!

Eliz.

 

[masters]

This might be helpful. Here are a couple of general rules regarding absolute value inequalities.
For all real numbers a and b, b > 0:

Rule 1: If |a| < b, then -b < a < b

Rule 2: If |a| > b, then a > b or a < -b