Question

Substitute each given value of the variable to find which, if any, is a solution of inequality.

Answer 1

Given:

The inequalities are:

a)
`w<-8, w=-4.3, -5.3, -8.3, -9`

b)
`t>-25, t=-24, -25, -25.1, -27`

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

`w<-8, w=-4.3, -5.3, -8.3, -9`

After substituting the given values one by one, we get

`-4.3<-8` False statement.

`-5.3<-8` False statement.

`-8.3<-8` True statement.

`-9<-8` True statement.

Therefore the solutions of
`w<-8` are
`w=-8.3, -9`.

b)

We have,

`t>-25, t=-24, -25, -25.1, -27`

After substituting the given values one by one, we get

`-24>-25` True statement.

`-25>-25` False statement.

`-25.1>-25` False statement.

`-27>-25` False statement.

Therefore, the solution of
`t>-25` is
`t=-24`.