SOLUTION: 3-2x is small than 7 What is the value of x

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Question 1116893: 3-2x is small than 7
What is the value of x

Found 4 solutions by stanbon, Shin123, MathTherapy, greenestamps:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3-2x is small than 7
What is the value of x
——
3-2x < 7
2x > -4
x > -2
————-
Cheers,
Stan H.

Answer by Shin123(626) About Me  (Show Source):
Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
3-2x is small than 7
What is the value of x
If this is 3 - 2x < 7, then the correct answer is: highlight_green%28x+%3E+-+2%29
All other answers are WRONG/RIDICULOUS, very MISLEADING and should never be posted.
It's bad for the forum and and especially bad for those who work very hard to provide correct answers to those who desperately need FREE help.
It may also may make the entire "troop" look incompetent!

Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The first tutor ended up with an answer showing the inequality in the wrong direction; the second tutor showed the right answer without showing how to get it.

The given inequality is

3+-+2x+%3C+7

Many students want always to keep the variable on the left side, so they subtract 3 from both sides as their first step:

-2x+%3C+4

Then to solve for x, they have to divide both sides by -2. So they have to remember that dividing by a negative when solving an inequality changes the direction of the inequality. So their next step should be

x+%3E+-2

I'm not sure exactly how the first tutor ended up with the inequality in the wrong direction....

But I always advise students to avoid having to remember to switch the direction when dividing by a negative by solving the inequality in such a way that dividing by a negative is not required.

My solution would be

3+-+2x+%3C+7
3-7+%3C+2x+
-4+%3C+2x
2x+%3E+-4
x+%3E+-2