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? O (-21) O (-∞, -21] O [-21,+00) O (21, +00) 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 ? O ( -21 ) O ( -∞ , -21 ] O [ -21 , + 00 ) O ( 21 , +00 )

Answer 1

Hello!

• Five times the sum of a number and 27

5(x + 27)

• six times the sum of that number and 26

6(x + 26)

Knowing it, let's solve:

`\begin{gathered} 5(x+27)\ge6(x+26) \\ 5x+135\ge6x+156 \\ 5x-6x\ge156-135 \\ -x\ge21 \\ x\le-21 \end{gathered}`

So, the solution is:

`(-\infty,-21]`