Answer: 1) [tex](2x+6)-(\dfrac{x}{2}-9)<9[/tex], 2) [tex]x<16[/tex] 3) No, he should be less than 16 years.
Step-by-step explanation:
Let the age of John be 'x'.
Let the age of Rasheed would be
[tex]2x-6[/tex]
Let the age of Jeorge would be
[tex]\dfrac{x}{2}+9[/tex]
Difference between Rasheed and Jeorge's age is more than nine years.
[tex]2x-6-(\dfrac{x}{2}+9)<9\\\\2x-6-\dfrac{x}{2}-9<9\\\\\dfrac{4x-x}{2}-15<9\\\\\dfrac{3x}{2}<9+15\\\\\dfrac{3x}{2}<24\\\\3x<48\\\\x<16[/tex]
1) [tex](2x+6)-(\dfrac{x}{2}-9)<9[/tex], 2) [tex]x<16[/tex] 3) No, he should be less than 16 years.