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

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) (Show Source): You can put this solution on YOUR website!
-1<3-2x<=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).

, note the reversed inequality symbols.

Answer by MathTherapy(10555) (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

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:

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