Question 234498
What is the translation of the statement"w is greater than -3 and less than 4"?


                A}-3<w<4 **********************************************
                B}-3>w>4
                C}-3<W>4
                D}-3>w<4


w > -3 is the same as -3 < w


here's how that would be derived:


w > -3


Add 3 to both sides of this equation and subtract w from both sides of this equation to get:


3 > -w


Multiply both sides of this equation by -1 to get:


-3 < w ***************************************************************


The inequaity reverses when you multiply both sides of the equation by -1.


Now take the second half of your equation as given.


w < 4 *****************************************************************


You can leave this part as is because it's already in the form that you want.


Put these two inequalities together and you get:


-3 < w and w < 4


Since w = w, these can be combined into:


-3 < w < 4