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

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

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

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

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

    To solve the inequality -x-3\leq 5, 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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