Use your knowledge of number systems to determine whether each is true orfalse.(a) 11 is a rational number. (b)5 is a rational number.(c) There are exactly 3 prime numbers between 40 and 50.(d) There are exactly 5 prime numbers less than 10.(e) 29 is a composite number.(f) 0 is a natural number. (g)(5 + 2i)(5 2i) is a real number.(h) 18 is a multiple of 12.

Problem 1

Use your knowledge of number systems to determine whether each is true or false. (a) 11 is a rational number. (b) 5 is a rational number. (c) There are exactly 3 prime numbers between 40 and 50. (d) There are exactly 5 prime numbers less than 10. (e) 29 is a composite number. (f) 0 is a natural number. (g) (5 + 2i)(5 2i) is a real number. (h) 18 is a multiple of 12.

Step-by-step solution

Step 1 of 8

a)A rational number that can be expressed as a simple fraction.

Write 11 in the fractional form as

Thus, is a rational number.

Hence,the given statement is true.