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?

(-09-21)

• (-00,-21]

[-21, + 00)

(21,400)

Answer: (-∞, - 21)

Step-by-step explanation:

Let the number be x, so from the question, we have

5 (x+27) ≥ 6 (x + 26)

expanding, we have

5x + 135 ≥ 6x + 156

5x - 6x ≥ 156 - 135

- x ≥ 21

Therefore:

x ≤ - 21

So, the numbers less or equal to - 21 are - 21,-22, - 23 ...

so the solution set is ( - ∞, 21)