Answer:
The solution set of this problem is x ≤ -21
Explanation:
x = a number that five times the sum of it and 27 is greater than or equal to six times the sum of it and 26
Let's solve for x, using the inequality given:
5 (x + 27) ≥ 6 (x + 26)
5x + 135 ≥ 6x + 156
5x - 6x ≥ 156 - 135
-x ≥ 21
x ≤ - 21 [Multiplying by -1 at both sides requires the flipping of the inequality sign]
The solution set of this problem is x ≤ -21