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(1) Review What You Learned (1)) You wrote inequalities using a variable and a comparison symbequalities - Instruction - Level F (1)) Which inequality says that the value of \( y \) is at most 17 ? \( y>17 \quad y<17 \quad y \geq 17 \quad y \leq 17 \)

Ask by Chadwick Dickson. in the United States
Feb 03,2025

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Answer

\( y \leq 17 \)

Solution

To determine which inequality states that the value of \( y \) is at most 17, we need to understand the meaning of the comparison symbols: - \( y > 17 \): This means \( y \) is greater than 17. - \( y < 17 \): This means \( y \) is less than 17. - \( y \geq 17 \): This means \( y \) is greater than or equal to 17. - \( y \leq 17 \): This means \( y \) is less than or equal to 17. The phrase "at most 17" indicates that \( y \) can be any value that is less than or equal to 17. Therefore, the correct inequality that represents this condition is: \[ y \leq 17 \] So, the answer is \( y \leq 17 \).

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The Deep Dive

To express the idea that the value of \( y \) is at most 17, you want to say that \( y \) can be less than or equal to 17. This translates to the inequality \( y \leq 17 \). This means that \( y \) can take any value that is 17 or smaller, giving you flexibility with what values \( y \) can assume! Understanding inequalities is like playing a game with numbers; they allow you to define ranges and relationships between quantities. Realistically, you can use inequalities in everyday situations—like budgeting! For instance, if you have a spending limit of $100 this week, you could say your expenses \( x \) must satisfy \( x \leq 100 \). Keeping these boundaries helps manage your resources effectively!

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