Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 What is the solution set of this problem?

Let the number be x. Translate the statement into 5(x + 27) ≥ 6(x + 26), which simplifies to 5x + 135 ≥ 6x + 156. Subtracting 5x and 156 gives −21 ≥ x, or x ≤ −21. The solution set is (−∞, −21], choice D.

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