Question

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 1

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 )