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Math Help - Inequlaities etc. for tomorrow!!!!!!!

  1. #1
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    Inequlaities etc. for tomorrow!!!!!!!

    Hi, i'm a new member who really needs help. We've had a supply teacher for a while who was terrible at teaching us. Now the real teacher is back (very scary) and wants homework on Inequalities in for tomorrow. I don't have a clue how to do them but she'll go mad if they're not done!

    Please may i have some help?

    The following questions i need help with:
    Solve the following linear inequalities:
    1a. x+3<8
    d.4x-5<7
    g.x+3 over 2 <8
    j.2(x-3)<14
    m.3x+1 more than or equal to 2x-5
    p.3x+2 more than or equal to x+3

    Thankyou.
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by awfulatmaths View Post
    ...

    Solve the following linear inequalities:
    1a. x+3<8
    d.4x-5<7
    g.x+3 over 2 <8
    j.2(x-3)<14
    m.3x+1 more than or equal to 2x-5
    p.3x+2 more than or equal to x+3

    Thankyou.
    Hello,

    1. You solve inequalities in the same manner as you solve equations with a few exceptions:

    a) If you mulitply/divide both sides of an inequality by a negative number you have to change the < sign into a > sign, and the > sign into a < sign.

    to #1a:

    x+3<8~\iff~x<5

    to #d:

    4x-5<7~\iff~4x<2~\iff~x<\frac12

    to #g: Do you mean:

    \frac{x+3}{2}<8 ? Mulitply by 2, subtract 3, done!

    to #j: Expand the bracket, add 6, divide by 2
    to #m: subtract 1, subtract 2x,
    and the last one is intirely for you
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  3. #3
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    I can't thank you enough earboth, i was extremely worried but thanks to you i now know not just the answers, but also how to work them out which i have shown in my exercise book. I was also able to do p-i wish you were my teacher.

    Thanks a lot!
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