Answer:
Solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]
Step-by-step explanation:
We need to solve the inequality: [tex]1<\frac{a+7}{-2}[/tex]
We need to solve the inequality, to find the value of a.
Solving the inequality:
[tex]1<\frac{a+7}{-2}[/tex]
First step is Switching both sides (the inequality will be reversed)
[tex]\frac{a+7}{-2}>1[/tex]
The next step is to multiply both sides by -2 and reverse the inequality
[tex]\frac{a+7}{-2}*-2<1*-2\\a+7<-2[/tex]
Now, subtracting 7 on both sides
[tex]a+7-7<-2-7\\a<-9[/tex]
So, solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]
