Question

1< a+7/-2

The is supposed to be written like a fraction so think
A+7
____
-2

Answer 1

We get the value of a:
`\mathbf{a<-9}`

Explanation:

We have to solve the inequality
`1<(a+7)/(-2)`

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

`(a+7)/(-2)>1`

Multiply both sides by -2, as we are multiplying by a negative number, the inequality will be reversed

`(a+7)/(-2)* -2<1* -2`

`a+7 < -2`

Now, subtracting both sides by 7, to find value of a

`a+7-7<-2-7\\a<-9`

We get the value of a:
`\mathbf{a<-9}`