Question

Is a = -11 a solution to the inequality below?1 > 11 - a-yesno

Answer 1

Given the inequality below:

`1>11-a`

Let us solve the inequality and compare it to the solution given

`\begin{gathered} 1>11-a \\ 1-11>-a \\ -10>-a \\ multiply\text{ through by -1} \\ -1*-10<-1*-a \\ 1010 \end{gathered}`

Please note that when multiplying or dividing through by a negative sign, the inequality sign would change...

The solution to the inequality is a > 10 which is not the same as a = -11.

Hence, the solution is NO