Which inequality symbol represent the phrase no more than.
The Correct Answer and Explanation is :
The inequality symbol that represents the phrase “no more than” is “≤” (less than or equal to). This symbol indicates that one quantity is either less than or equal to another quantity.
Explanation:
Inequalities are mathematical expressions that compare two values or expressions, showing the relationship between them. When we use the phrase “no more than,” we are specifying an upper limit on a value. For example, if we say that a student can score “no more than 80 points” on a test, we are indicating that the maximum score the student can achieve is 80. This means that the student’s score can be any value less than or equal to 80.
In terms of inequalities, we can represent this scenario mathematically as:
[
x \leq 80
]
In this inequality, ( x ) represents the student’s score. The “≤” symbol shows that ( x ) can take any value that is either less than or equal to 80. This is crucial in various real-world contexts, such as budgeting, speed limits, or scoring systems, where exceeding a certain limit can have significant implications.
Using “≤” allows for a clear understanding of boundaries in mathematical problems. For instance, in programming and data analysis, this symbol is commonly used to set constraints, ensuring that values do not exceed specified thresholds.
In summary, “no more than” is effectively represented by the “≤” symbol in inequalities. This representation is vital for establishing limits and ensuring clarity in communication about maximum values in mathematical contexts. It helps to precisely convey constraints and expectations, making it a fundamental concept in mathematics and various applications.