SOLUTION: Hi This is Kevin Lozano a 9th grader! i really need help with my alegebra homework my question is how do you solve the inequality and graph the solution? 2-x>=11-7 Thank y

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Question 1009124: Hi
This is Kevin Lozano a 9th grader!
i really need help with my alegebra homework
my question is
how do you solve the inequality and graph the solution?
2-x>=11-7
Thank you!
Please respond as soon as possible!
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website!
Hi Kevin. I teach a ton of ninth graders. Here's what you do...from
2 - x >= 11 - 7
you simplify what's on the right first and get
2 - x >= 4
then subtract the two from both sides...
-x >= 2
Now the tricky part...we multiply both sides by -1...when we do that REMEMBER to switch the inequality sign...like this...
x <= -2
To graph it, make a solid point at -2 and point an arrow to the left...that's it!

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
In the future, don't put your name ( or any other
personal information ) on the internet when you
don't have to. In other words, give away as little
personal data as you can.
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First, do the subtraction on the right side

Now you can subtract from both sides

Now it looks like you can multiply both sides
by and you get , but
you can't do this!
Suppose I choose . In the 2nd
equation, TRUE, but in the 1st
equation: NOT TRUE
-----------------------------
What you do is reverse the inequality sign
whenever you switch signs like this:

Now you are OK. I'll say
2nd equation:
OK
1st equation:

OK
----------------
So you have
This is a vertical line intersecting the x-axis
at ( -2, 0 )
The solution is the entire region to the
left of this vertical line