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The value of a variable \( d \) is more than 60 . Which inequality describes \( d \) ? A) \( d<60 \) B) \( d \geq 60 \) C) \( d>60 \) D) \( d \leq 60 \) B) \( d \geq 60 \) C) \( d>60 \) D) \( d \leq 60 \)

Ask by Sherman Wagner. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

The correct inequality is \( d > 60 \).

Solution

To describe the condition that the value of the variable \( d \) is more than 60, we need to express this mathematically using an inequality. 1. The phrase "more than 60" indicates that \( d \) must be greater than 60. 2. Therefore, the correct inequality that describes \( d \) is: \[ d > 60 \] Now, let's evaluate the options provided: A) \( d < 60 \) - This means \( d \) is less than 60, which is incorrect. B) \( d \geq 60 \) - This means \( d \) is greater than or equal to 60, which includes 60 itself, so this is also incorrect. C) \( d > 60 \) - This correctly states that \( d \) is more than 60. D) \( d \leq 60 \) - This means \( d \) is less than or equal to 60, which is incorrect. Thus, the correct answer is: **C) \( d > 60 \)**.

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Mind Expander

To express that \( d \) is more than 60, we need to use the inequality that shows \( d \) has to be greater than 60. Thus, the correct choice here is \( C) \, d > 60 \). This means any value of \( d \) must be more than 60, like 61, 75, or even 100! When tackling inequalities, a common mistake is misreading "more than" as "greater than or equal to." This trip-up can lead to selecting options like \( B) \, d \geq 60 \), which includes 60 itself. Always remember to pay attention to those tiny words for exact meanings!

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