For the given inequality to be true, x > 2.
Inequality is used to define a relationship between two or more values in an algebraic expression that are not equal.
For eg, 2x + 3>5y
Now, given: 4x + [tex]\frac{2x+4}{2}[/tex] > 12
Then, on simplification, we get:
=> [tex]4x+x+2 > 12[/tex]
=> 5x + 2 >12
=> 5x > 10
=> x > 2
Hence, x > 2 for the given inequality to be true.
To learn more about inequalities, refer to the link: https://brainly.com/question/24372553
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