The initial length of the pine tree=5 feet.
Groth rate of pine tree =3 feet/year.
The initial length of the pine tree =10 feet.
Groth rate of the maple tree =2 feet/year.
After x years, the height of the pine tree= 5+3x feet and
after x years, the height of the maple tree= 10+2x feet.
The inequality for which, after x year, the pine tree is taller than the maple tree is
![5+3x>10+2x](https://tex.z-dn.net/?f=5%2B3x%3E10%2B2x)
.
The inequality for which, the pine tree is at least as tall as the maple tree is
.
.
Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and
after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.
The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is
![5+9x>10+4x](https://tex.z-dn.net/?f=5%2B9x%3E10%2B4x)
![\Rightarrow 5x>5](https://tex.z-dn.net/?f=%5CRightarrow%205x%3E5)
![\Rightarrow x>1.](https://tex.z-dn.net/?f=%5CRightarrow%20x%3E1.)
The inequality for which, the pine tree is at least as tall as the maple tree is
.
![\Rightarrow 5x\geq5](https://tex.z-dn.net/?f=%5CRightarrow%205x%5Cgeq5)
![\Rightarrow x\geq 1.](https://tex.z-dn.net/?f=%5CRightarrow%20x%5Cgeq%201.)