Question

Solve the inequality and enter your solution as an inequality comparing variable to solution-31>x-48

Answer 1

solving the inequality
`-31>x-48` we get:
`\mathbf{x<17}`

Explanation:

We need to solve the inequality
`-31>x-48`

Solving the inequality and finding value of x:

`-31>x-48`

First we will be switching sides i.e. left hand side will become right hand side and right hand side will become left hand side. In doing so, the inequality sign i.e. > will be reversed and changed with <

`x-48<-31`

Now, for finding value of x, we will be adding 48 on both sides

`x-48+48<-31+48\\x<17`

The value of x is less than 17 i.e.
`\mathbf{x<17}`

So, solving the inequality
`-31>x-48` we get:
`\mathbf{x<17}`