SOLUTION: X € (real numbers) and -1<3-2x< or = 7, evaluate x and represent it on a number line

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Question 947677: X € (real numbers) and -1<3-2x< or = 7, evaluate x and represent it on a number line
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
-1<3-2x<=7

-1%3C3-2x%3C=7

SOLVE for x using the number properties already familiar to you but now including what happens in case of multiplying by a negative value (which reverses the inequality direction).

-1-3%3C3-2x-3%3C=7-3
-4%3C-2x%3C=4
-4%28-1%2F2%29%3E-2x%28-1%2F2%29%3E=4%28-1%2F2%29, note the reversed inequality symbols.
highlight%282%3Ex%3E=-2%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
X € (real numbers) and -1<3-2x< or = 7, evaluate x and represent it on a number line
highlight_green%28-+2+%3C=+x+%3C+2%29

In order to show the values of x for this inequality, the following is done on the number line:

1) A shaded circle is placed on - 2

2) An open circle is placed on 2

3) The interval between - 2 and 2 should have a heavily-weighted line



These values for x are reflected on the number line below: