For this case we must resolve the following inequality:
[tex]2 (4 + 2x)> 5x + 5[/tex]
Applying distributive property on the left side of inequality we have:
[tex]8 + 4x> 5x + 5[/tex]
Subtracting 5 from both sides of the inequality:
[tex]8-5 + 4x> 5x\\3 + 4x> 5x[/tex]
Subtracting 4x from both sides of the inequality:
[tex]3> 5x-4x\\3> x[/tex]
Thus, the result is [tex]x <3.[/tex]
Answer:
[tex]x <3[/tex]
