Answer:
We get the value of a: [tex]\mathbf{a<-9}[/tex]
Step-by-step explanation:
We have to solve the inequality [tex]1<\frac{a+7}{-2}[/tex]
So, solving the inequality and finding value of a
First step is to switch both sides and for doing so, the inequality will be reversed
[tex]\frac{a+7}{-2}>1[/tex]
Multiply both sides by -2, as we are multiplying by a negative number, the inequality will be reversed
[tex]\frac{a+7}{-2}\times -2<1\times -2[/tex]
[tex]a+7 < -2[/tex]
Now, subtracting both sides by 7, to find value of a
[tex]a+7-7<-2-7\\a<-9[/tex]
We get the value of a: [tex]\mathbf{a<-9}[/tex]
