SOLUTION: 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

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

A}-3 B}-3>w>4
C}-34
D}-3>w<4
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
What is the translation of the statement"w is greater than -3 and less than 4"?

A}-3 B}-3>w>4
C}-34
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