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1)3/4+x>1 answer:x>1/4
2)10-3x<5 answer:x>5/3
3)|7-x|>2 answer:x>-5 x<-9
4)|x+0.5|=0.25 answer:x=-o.25,-0.75
thank you very very much!!!

  • please check -

    Prob.1 and 2 are correct.

    3. [7 - x] > 2.

    Eq1: +(7 - x) > 2. Eq2: -(7 - 7)>2.

    Eq1: +(7 - x) > 2,
    7 - x > 2,
    -x > 2 - 7,
    -x > -5,
    Divide both sides by -1 and reverse inequality sign:
    x < 5.

    Eq2: -(7 - x) > 2.

    -7 + x > 2,
    x > 2 + 7,
    x > 9.

    Solution set: x < 5, and x > 9.
    Therefore, all values of x < 5 and
    > 9 shuld satisfy the inequality.
    Values of x between 5 and 9 should not
    satisfy the inequality.

    Eq3: 5 > x > 9.

    4. CORRECT!!

    You did great! you missed only one.
    You forgot to reverse the inequality sign when you divided by -1.

    Most students would have missed 3 and 4.

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