Final answer:
Option d) 'All negative and positive integers' incorrectly represents the range of all real numbers because it excludes non-integer real numbers.
Step-by-step explanation:
The question asks which option incorrectly represents the range of all real numbers using different notations. Let's examine each option:
- a) R: All real numbers - This correctly represents the set of all real numbers.
- b) y - The set builder notation here correctly represents the set of all real numbers, with 'E' being the symbol for 'is an element of.'
- c) (-∞, ∞) - The interval notation here correctly represents the set of all real numbers with negative infinity to positive infinity.
- d) All negative and positive integers - This option is incorrect because it excludes non-integer real numbers like fractions and irrational numbers. Therefore, it does not represent the range of all real numbers.
Consequently, option d) incorrectly represents the same range as the other options.