Question 231838
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -5\ <\ 7\ -\ 2x\ <\ 15]


Add -7


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -5\ -\ 7\ <\ 7\ -\ 7\ -\ 2x\ <\ 15\ -\ 7]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -12\ <\ -2x\ <\ 8]


Multiply by *[tex \Large -\frac{1}{2}] remembering to switch the sense of the inequality because of multiplying by a negative.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 6\ >\ x\ >\ -4]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -4\ <\ x\ <\ 6]



Draw a number line.  Put a little circle at -4.  Put a little circle at 6.  Make a fat line that connects the two little circles.


{{{drawing(
500, 100, -5, 5, -5, 5,
number_line(400,-10,10,-4,6)
)}}}


Make sure your little circles are open circles -- not filled in like the picture.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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