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5 votes
If x < 5 and x >c, give a value of c such that there

are no solutions to the compound inequality.
Explain why there are no solutions

User Calrion
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5.9k points

1 Answer

4 votes

we have

x<5

x>c

we know that

The solution is the intersection of both solution sets of the given inequalities.

The solutions of the compound inequality must be solutions of both inequalities.

The value of c could be 5 or any number greater than 5, such that there are no solutions to the compound inequality

Because

A number cannot be both less than 5 and greater than 5 at the same time

therefore

the answer is

for c_> there are no solutions to the compound inequality

User Doran
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5.4k points