Questions: Error Analysis: A student writes the inequality in interval notation, as shown. x >= 17 [17, infinity] Explain why this is incorrect.

Explain why the student's interval notation for \( x \geq 17 \) is incorrect.

Understanding the inequality

The inequality \( x \geq 17 \) means that \( x \) is greater than or equal to 17. This includes all real numbers starting from 17 and extending to infinity.

Correct interval notation

The correct interval notation for \( x \geq 17 \) is \( [17, \infty) \). The square bracket \( [ \) indicates that 17 is included, and the round bracket \( ) \) indicates that infinity is not a real number and is therefore not included.

Identifying the error

The student wrote \( [17, \infty] \), which is incorrect because infinity is not a real number and should not be enclosed in a square bracket. The correct notation uses a round bracket for infinity.

The student's interval notation is incorrect because infinity should be represented with a round bracket, not a square bracket. The correct notation is \( [17, \infty) \).

The student's interval notation is incorrect because infinity should be represented with a round bracket, not a square bracket. The correct notation is \( [17, \infty) \).