Answer:
The inequality is False
Step-by-step explanation:
We say that an inequality is true when the inequality symbol is satisfied. For example
[tex]5> 2[/tex] → True
On the contrary when inequality is not satisfied we say that it is false. For example:
[tex]2> 30[/tex] → False
2 is not greater than 30, therefore it is said that inequality is not satisfied.
In this case we have the following inequality:
[tex]-2(2x+9)>-4x+9[/tex]
To find out if inequality is satisfied, we simplify the terms
[tex]-2(2x+9)>-4x+9[/tex]
[tex]-4x-18>-4x+9[/tex]
[tex]-18>9[/tex]
Observe that -18 is not greater than 9, therefore it is said that inequality is not satisfied.
