Question
What value must replace the symbol, to make each of the following expressions undefined? 1. \( \frac{3}{\triangle} \) 2. \( 3 \div(\square-6) \)
Ask by Pena Stanley. in South Africa
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To make each expression undefined:
1. \( \triangle = 0 \)
2. \( \square = 6 \)
Solution
1. For the expression \( \frac{3}{\triangle} \) to be undefined, the denominator must equal 0. Thus, we set:
\[
\triangle = 0.
\]
2. For the expression \( 3 \div (\square - 6) \) to be undefined, the divisor must equal 0. Setting the divisor equal to 0, we have:
\[
\square - 6 = 0.
\]
Solving for \( \square \), we get:
\[
\square = 6.
\]
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Simplify this solution Mind Expander
To make the first expression \( \frac{3}{\triangle} \) undefined, the value of \( \triangle \) must be 0. This is because division by zero is impossible in mathematics and leads to an undefined result. For the second expression \( 3 \div(\square-6) \) to be undefined, \( \square-6 \) also has to equal 0. This means that \( \square \) must equal 6. In both cases, division by zero is what causes the expressions to be undefined!
