Questions: Determine whether the following statement is true or false. x x is a whole number less than 3=0,1,2 Choose the correct answer below. True False

Solution Steps

To determine whether the given statement is true or false, we need to evaluate the set described by the condition \( \{x \mid x \) is a whole number less than 3\}. A whole number is a non-negative integer, so we list all whole numbers less than 3 and compare them to the set \(\{0, 1, 2\}\).

The set described by the condition \(\{x \mid x\) is a whole number less than 3\}\) includes all whole numbers \(x\) such that \(0 \leq x < 3\). Whole numbers are non-negative integers, so the set is \(\{0, 1, 2\}\).

The given set is \(\{0, 1, 2\}\). We compare this set to the set defined by the condition. Both sets are \(\{0, 1, 2\}\).

Since both sets are identical, the statement \(\{x \mid x\) is a whole number less than 3\} = \{0, 1, 2\}\) is true.

Final Answer