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# Any value satisfies this inequality right? watch

1. -x -3 (less than or equal to) 5

I can plug in any number for x and this is true right?
2. No. For example, x = -10 fails.
3. (Original post by Kolya)
No. For example, x = -10 fails.
Really? But -10 - 3 = -13

Should I be writing --10 - 3 = 7 then?
4. if you rearrange you will see that x has to be greater than or equal to -8.

So anything under -8 will not work
5. (Original post by HappinessHappening)
Really? But -10 - 3 = -13

Should I be writing --10 - 3 = 7 then?
Yes, -(-10) = 10.

To solve the inequality , firstly add 3 to both sides, then multiply both sides by -1, making sure you abide by the rules.

The basic rules of manipulating inequalities are: you can add anything to, or subtract anything from, both sides; you can multiply or divide both sides by a positive number; you can multiply or divide both sides by a negative number but you have to change the direction of the inequality (e.g. from > to <).

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Updated: November 13, 2008
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