Write the set $A = \{x : x \in N,\ x < 6\}$ in roster form.

We need every natural number strictly less than 6. The natural numbers are $1, 2, 3, \dots$, and those less than 6 are $1, 2, 3, 4, 5$ (note that $6$ itself is excluded, since the condition is strict: $x < 6$). Listing these inside braces gives the roster form. [!ANSWER] $A = \{1, 2, 3, 4, 5\}$.

Write the set A = \x : x ∈ N,x < 6\ in roster form – Class 11 Mathematics

Example · Example 1

A = \{x : x \in N,\ x < 6\}

West Bengal WbchseTextbookSubjectiveImportance★★★★★est

14% · 4/28 Questions

✓ Free question

Concept understanding — Sets and Set Representation

A set is a well-defined collection of distinct objects, denoted by a capital letter, with membership written $x \in A$ . A set can be described in roster form (all elements listed inside braces, e.g. $\{1,2,3,4,5\}$ ) or in set-builder form (a defining rule, e.g. $\{x : x \in N,\ x < 6\}$ ). Both forms describe exactly the same set whenever they name the same elements; choosing between them is a matter of convenience — set-builder form is preferred when a set is infinite or the rule is simpler than a full listing.

←Previous questionQ27 — Let A = \x ∈ N : x is a factor of 24\ and B = \x ∈ N : x is a factor o…→Next questionExample 2 — Write the set B = \5, 10, 15, 20, 25\ in set-builder form.

Q.Write the set A={x:x∈N, x<6}A = \{x : x \in N,\ x < 6\}A={x:x∈N, x<6} in roster form.

Concept understanding — Sets and Set Representation

🎓Unlock everything free for 14 days

Q.Write the set $A = \{x : x \in N,\ x < 6\}$ in roster form.

Unlock everything free for 14 days