Question

It’s an inequality I need the work for it ik the answer

Answer 1

Solving the inequality
`1<(a+7)/(-2)` we get the value of a:
`\mathbf{a<-9}`

Explanation:

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

We need to solve the inequality, to find the value of a.

Solving the inequality:

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

First step is Switching both sides (the inequality will be reversed)

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

The next step is to multiply both sides by -2 and reverse the inequality

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

Now, subtracting 7 on both sides

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

So, solving the inequality
`1<(a+7)/(-2)` we get the value of a:
`\mathbf{a<-9}`