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Algebra

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Solve and express in interval notation

Solve: |5 – 8x| > 11 and write interval notation for the solution set. This is what I get but I need it in interval notation.

x<-3/4 or x >2



Solve: (x-3)/(x^2-25)<0 and write interval notation for the solution set.

This is what I get for this one but I need it in interval notation.

x<-5 or 3<x<5

  • Algebra - ,

    The answers are correct.
    To represent disjoint intervals in interval notation, we only need to join each interval using a "union sign", or ∪.
    So the required answer would be:
    (-∞, -3/4) ∪ (2, +∞)
    Parentheses have been used in the above cases (instead of square brackets) because in each of the 4 cases, the values of the limits are to be excluded from the interval.

  • Algebra - ,

    Thank you!

  • Algebra - ,

    You're welcome!

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