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Mathematics 36 Online
OpenStudy (anonymous):

Which of the following has no solution? {x | x < 0} and {x | x > 0} {x | x ≤ 0} and {x | x ≥ 0} {x | x ≤ 0} or {x | x ≥ 0}

OpenStudy (anonymous):

@ranga

OpenStudy (ranga):

Can something be less than zero AND also be greater than zero?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

so it C again cuz thats {x | x ≤ 0} OR {x | x ≥ 0}

OpenStudy (anonymous):

u there

OpenStudy (ranga):

The first choice is saying: x < 0 AND x > 0 That can't be true for any value of x. The second choice is saying: x <=0 AND x >= 0. There is one value of x that can satisfy both inequalities and that is x = 0. So there is a solution. The third choice is saying: x <= 0 OR x >= 0 This has infinite solutions because it is an OR. Any value of x can satisfy one or the other.

OpenStudy (anonymous):

so is it A

OpenStudy (ranga):

Yes.

OpenStudy (anonymous):

oh ok

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