Question

m7/lb writing and graphing inequalities
the dog must weigh at least 10 pounds to go in the dog park.
which representations represent this scenario?
the letter d represents how many pounds the dog can be.

• d > 10
• d = 10
• d < 10
• any value greater than 10 or equal to 10
• any value less than 10

Explanation:

Step1: Analyze the phrase "at least 10"

"At least 10" means the weight \( d \) can be 10 or more than 10. Mathematically, this is represented as \( d \geq 10 \), which is equivalent to "any value greater than 10 or equal to 10".

Step2: Evaluate each option

• \( d > 10 \): This means greater than 10, but not including 10. However, "at least 10" includes 10, so this is partially correct but not the most accurate single representation (but let's check others). Wait, actually, the option "Any value greater than 10 or equal to 10" directly matches \( d \geq 10 \).
• \( d = 10 \): This is just the equal case, but "at least" includes more than 10 too, so this is not the full representation.
• \( d < 10 \): This is less than 10, which is the opposite of "at least 10".
• "Any value greater than 10 or equal to 10": This exactly matches the meaning of "at least 10" (since it includes 10 and all values above 10).
• "Any value less than 10": This is the opposite, as explained.

Answer:

Any value greater than 10 or equal to 10