Question

write a={1, 7, 49, 343} in set builder form

Answer 1

{x:x=7 power n where n belongs to w, n<4}

Answer 2

Answer:

The required set-builder form is A = {7ⁿ: 0 ≤ n ≤ 3}

Step-by-step explanation:

Set-Builder form:

• Set-Builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.
• In the set-builder form, all the elements of the set, must posses a single property to become the member of that set.
• For example: Z = {x: x is an integer}
• The above set can be read as "The set Z is a set of values of x such that x is an integer.
• Given Set is A = {1, 7, 49, 343}
• We can represent the given set of elements as a set-builder form as

          A = {7ⁿ: 0 ≤ n ≤ 3}

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