Option 1 is incorrect. The lithosphere does not include the lower mantle, only the upper mantle.

Option 2 is correct. The lithosphere is composed of two layers: the crust and the uppermost part of the mantle. The crust is the outermost layer of the Earth, and it can be further divided into two types: the continental crust, which is thicker and less dense, and the oceanic crust, which is thinner and more dense. The upper mantle is the layer beneath the crust and extends down to a depth of about 410 kilometers.

Option 3 is incorrect. The lithosphere does not include the Earth`s core, which is located in the innermost part of the Earth.

Option 4 is incorrect. The lithosphere does not include the core, only the mantle and the crust.

In conclusion, the correct description of the lithosphere is option 2, which includes the crust and the upper mantle.