Given:
The inequalities are:
a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]
b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,
[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]
After substituting the given values one by one, we get
[tex]-4.3<-8[/tex] False statement.
[tex]-5.3<-8[/tex] False statement.
[tex]-8.3<-8[/tex] True statement.
[tex]-9<-8[/tex] True statement.
Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].
b)
We have,
[tex]t>-25, t=-24, -25, -25.1, -27[/tex]
After substituting the given values one by one, we get
[tex]-24>-25[/tex] True statement.
[tex]-25>-25[/tex] False statement.
[tex]-25.1>-25[/tex] False statement.
[tex]-27>-25[/tex] False statement.
Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].
