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QuestionMathematics

"Which inequality symbol represents the phrase ""no more than""? A. ≥ (greater than or equal to) B. ≤ (less than or equal to) C. < (less than) D. > (greater than)"
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Answer

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Step 1:
I'll solve this problem step by step:

Step 2:
: Understand the meaning of "no more than"

• The phrase "no more than" means the value can be equal to or less than a given number • This implies we're looking for an inequality symbol that represents this condition

Step 3:
: Analyze the inequality symbols

• ≥ (greater than or equal to): Includes values above and equal to a number • ≤ (less than or equal to): Includes values below and equal to a number • < (less than): Only includes values strictly below a number • > (greater than): Only includes values strictly above a number

Step 4:
: Identify the correct interpretation

• This precisely matches the definition of $$\leq$$ (less than or equal to)
• "No more than" means the value cannot exceed a certain number • This symbol allows values to be either less than or exactly equal to the reference number

Step 5:
: Eliminate incorrect options

• ≥ means "at least" (includes values above the number) • < excludes the equal value • > excludes values below the number

Final Answer

B. ≤ (less than or equal to)