Homework Help: Writing Inequalities

Posted by meme1993 on Wednesday, December 6, 2006 at 11:55pm.

I need some help with this problem.

A number is less than the sum of twice its opposite and five. Find the number.

Thank you for your help!!!

If by "its opposite" you mean the same number with opposite sign, then if you let x be that unknown number

x < -2x + 5
You can add 2x to both sides and keep the direction of the < the same.
3x < 5
You can divide both sides by 3 and keep the direction of the < the same.
x < 5/3

I'm not sure what you mean by "opposite." If you mean inverse, this would be your formula.

X < 2(1/X) + 5 or 2(1/X + 5)

Even assuming that it is the inverse, your description is not clear enough to know which of the above applies.

I hope this helps. If not, clarify your meaning in another post, and we will do our best to help you. Thanks for asking.

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