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Science-Related Homework Help Mathematics Topic started by: treetreee on Jan 8, 2022



Title: When solving inequalities with greater or equal to sign, what happens when you divide by a negative?
Post by: treetreee on Jan 8, 2022
When solving inequalities with greater or equal to sign, what happens when you divide by a negative?

Say you have:

\(-x\le 12\)

I realize you divide by \(-1\) to solve for \(x\), but if I do, does the sign change to \(x>-12\) or \(x\ge -12\)?


Title: Re: When solving inequalities with greater or equal to sign, what happens when you divide by a negat
Post by: bio_man on Jan 8, 2022
Whether you divide OR multiply by a negative number, the sign changes. When you switch the sign, you keep the negative. Therefore, the following is correct:

\(−x\le 12\)

\(x\ge -12\)