Given the set A:{x|x is an integer and 0<x>3}, find the roster form.A) A: {1,2,3,}B) A: {0,1,2}C) A: {0,1,2,3}D) A: {-1,0,1,2,3,}

To address the question regarding the set $A$ in roster form, let's first clarify the condition given.

Step 1: Break Down the Problem

1. We need to identify the integers $x$ that satisfy the condition $0 < x < 3$.

Step 2: Relevant Concepts

1. The inequality $0 < x < 3$ indicates that $x$ must be a positive integer that is less than 3.

Step 3: Analysis and Detail

1. The integers that meet the condition $0 < x < 3$ are:
   • The smallest positive integer is 1.
   • The next integer is 2.
   • The integer 3 is not included since it is not less than 3.

Thus, the integers contained in set $A$ are 1 and 2.

Step 4: Verify and Summarize

1. The only integers satisfying the inequality $0 < x < 3$ are indeed 1 and 2.
2. Hence, we can express set $A$ in roster form.

Final Answer

The correct representation of the set $A$ in roster form is: $A = \{1, 2\}$

From the given options, the correct answer is (A) A: {1,2}.