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Write a mathematical sentence for the inequality:

"Twice the difference of a number and seven is less than or equal to forty."

a) 2(x - 7) ≤ 40
b) 2(x + 7) ≤ 40
c) 2(x - 7) ≥ 40
d) 2(x + 7) ≥ 40

1 Answer

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Final answer:

The mathematical sentence for the inequality 'Twice the difference of a number and seven is less than or equal to forty' is 2(x - 7) ≤ 40.

Step-by-step explanation:

To write a mathematical sentence for the given inequality, we can start by translating the words into symbols. 'Twice the difference of a number and seven' can be represented as 2(x - 7). 'is less than or equal to forty' can be represented as ≤ 40. Putting it all together, the mathematical sentence for the inequality is 2(x - 7) ≤ 40, which is option a).

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