solve: |2x-5|> or equal to 7.?

Question

help please!!! ;)

Answer 1

|2x-5|>= 7

The absolute value (indicated by the vertical bars) means that, whatever the value of 2x-5, we take the value without the sign.
So, if x = -10, then 2x-5 = -25 but |2x-5|=+25 (the sign of an absolute value is always -- always -- positive)
(yes, always)

So, there are two solutions:

2x-5 >= 7
2x >= 12
x>=6

AND
-(2x-5) >=7
-2x + 5 >=7
-2x >= 2
-x>= 1
x<=-1

As long as we multiply of divide by a positive number, the orientation does not change. At the last step, we must multiply by a negative value (-1), therefore the orientation changes.

Answer 2

The two lines are absolute value, which makes any number positive, so to get it to equal X, x would equal 6 or -1. So to make the equation > or =7, X would have to be:

X> or equal to 6 and X< or equal to -1.

Hope this helps!

Answer 3

It depends on what X is.
If X is.... lets say 6.
2x-5 > or = 7
2 times x which is six is 12
12-5 is 7.
So if X is 6 than 2x-5 is equal to 7

I hope this helps

But if it doesn't....
I'm sorry
I'm only in 7th grade

Answer 4

|2X-5| >= 7
-(2X-5) > = 7 or 2X-5 => 7
-2X+5 > = 7 or 2X => 12
-2X => 2 or X >= 6
X <= -1 or X>=6

Answer 5

2x-5>/=7, x>/=6
OR5-2x/=12, x>/=6
x>/=6 answer