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laila [671]
2 years ago
5

Decide whether the statement is true or false. If it is​ false, explain why. The union of the solution sets of 4xplus5equals13​,

4xplus5greater than13​, and 4xplus5less than13 is empty set
Mathematics
1 answer:
postnew [5]2 years ago
4 0

The given statement is false because it isn't an empty set!

<u>Step-by-step explanation:</u>

We have following sets of inequalities:

4x+5=13\\4x+5>13\\4x+5

From 4x+5=13 we get ,

4x = 8 \\x=2

Therefore solution set is x=2.

Now, for 4x+5>13 we get ,  

4x+5>13 \\4x>8\\x>2

Therefore solution set is x>2.

For 4x+5 we get ,

4x+5

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is  -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

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