The inequality representing the given sentence is 9 + x > -28.
To translate the sentence "The sum of 9 and x is greater than -28" into an inequality, we can represent it as 9 + x > -28. In this inequality, the sum of 9 and the variable x must be greater than -28. It implies that any value of x which, when added to 9, results in a sum greater than -28 satisfies the inequality.
Algebraically, we can solve for x by subtracting 9 from both sides, yielding x > -37. Therefore, any real number greater than -37 can replace x in the inequality, making the statement true. In interval notation, this can be expressed as
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The complete question is:
Translate the sentence into an inequality:
The sum of 9 and x is greater than -28.