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Rewrite the following statements formally using the quantifiers for all or for every and theres as appropraite . a)Not all continous functions are differentiable b) for real x,2x is never negative.

Answer :

Answer:

There exist a continuous function which is not differentiable,

[tex]2^x\geq 0[/tex] For all real number x.

Step-by-step explanation:

Consider the provided information.

We need to Rewrite the following statements formally using the quantifiers

The two quantifiers are: 'there exists' and 'for all.'

Now use them in order to change the statements.

Part (a) Not all continuous functions are differentiable

The quantifier statement is:

There exist a continuous function which is not differentiable,

Part (b) for real x,2x is never negative.

The quantifier statement is:

[tex]2^x\geq 0[/tex] For all real number x.

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