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Algebra Help? 2 questions?

6. Which is the solution set of the given compound inequality?

7 > x + 5 or x 2 >(or equal to) 3

(Points : 4)

Option A: x [2, 5)

Option B: x (2, 5]

Option C: x (-Infinity, 2) U [5, infinity )

Option D: x (-Infinity, 3) (upside down U) [5, infinity )

7. Which conjunction or disjunction is equivalent to the given absolute value inequality?

|x + 5| < 18

(Points : 4)

x + 5 > 18 or x + 5 < -18

x + 5 > 18 and x + 5 < -18

x + 5 < 18 or x + 5 > -18

x + 5 < 18 and x + 5 > -18

1 Answer

Relevance
  • Anonymous
    8 years ago
    Favorite Answer

    6:

    x < 2 or x ≥ 5

    x ∈ (2,5] (open on the 2 end, closed on the 5 end)

    7:

    |x + 5| <18

    -18 < x + 5 < 18

    Split this up:

    x + 5 > -18

    and

    x + 5 < 18

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