The above Example 2.14 showed how to negate a conditional statement P(x)Qx). Thi

Question

The above Example 2.14 showed how to negate a conditional statement P(x)Qx). This type of problem can sometimes be embedded in more complex negation. See Exercise 5 below (and its solution). Exercises for Section 2.10 Negate the following sentences. 1. The number is positive, but the number y is not positive. 2. If x is prime, then v is not a rational number. 3. For every prime number p, there is another prime number q with q>p. 4. For every positive number c, there is a positive number such that lx-al

Explanation / Answer

2. TRUE. The square root of a prime number can't be expressed in the form of p/q since its not an exact number but any approximate number.

6. TRUE. And that real number a=0

10. TRUE. Derivative would be constant if degree is one.

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