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Translate the statement [tex]\[9n + 3 \geq 5n\][/tex] into a sentence.
Three more than nine times a number is at least five times the number.
To translate the mathematical inequality [tex]\(9n + 3 \geq 5n\)[/tex] into a sentence, we need to interpret each part of the equation into words. Here's a step-by-step breakdown of the given inequality:
1. [tex]\(9n\)[/tex]: This represents "nine times a number." 2. [tex]\(+ 3\)[/tex]: This represents "three more than." 3. [tex]\(\geq\)[/tex]: This represents "is at least." 4. [tex]\(5n\)[/tex]: This represents "five times the number."
Putting these pieces together:
- "Nine times a number" refers to [tex]\(9n\)[/tex]. - "Three more than" refers to the addition of 3. - "Is at least" corresponds to [tex]\(\geq\)[/tex]. - "Five times the number" refers to [tex]\(5n\)[/tex].
Therefore, the inequality [tex]\(9n + 3 \geq 5n\)[/tex] can be translated into the sentence:
Three more than nine times a number is at least five times the number.
So, for the given sentence structure with blanks to fill:
Three more than nine times a number is at least five times the number.
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