Solving Polynomial Inequailities

[Prostagma]

Hi, just a quick question about solving inequalities.

I'm wondering if BEDMAS is supposed to be used when solving? Because I get different answers when I approach inequalities using different steps. For instance:

Method 1

25 <= 4x+1/2 < 88

50 <= 4x+1 < 176 (multiply all three sides by two)

12.5 <= x+1 < 44 (divide all three sides by 4)

11.5 <= x < 43 (subtract one from all three sides)

[11.5,43) is the answer?

Method 2

25 <= 4x+1/2 < 88

50 <= 4x+1 < 176 (multiply all three sides by two)

49 <= 4x < 175 (subtract all three sides by 1)

12.25 <= x < 43.75

[12.25,43.75) is the answer?

So thats the problem I'm having. Just wondering if anyone out there can clarify what I'm doing wrong. Thanks in advance!

 

[rahidz2003]

In the first step, shouldn't it be 8x + 1, not 4x + 1?

25 <= 4x+1/2 < 88

50 <= 8x+1 < 176 (multiply all three sides by two)

49 <= 8x < 175 (subtract 1)

6.125 <= x < 21.875 (divide all three sides by 8)

 

[Prostagma]

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