Let's refer to the statements as A through F.
A. The diagram shows the ocean absorbing "90" and releasing "88". That means the ocean absorbs more than it releases (90 > 88), so acts as a "sink", a place where carbon is stored. (TRUE)
B. The dashed red arrow on the right labeled Fossil Fuel Combustion shows a transfer of carbon into the Atmosphere. (TRUE)
C. The diagram shows "Primary Production and Respiration" as coming from "Vegetation and Soils", so animals are not the sole contributors of CO₂ from respiration. (FALSE)
D. The blue arrows show exchange of atomospheric CO₂ with oceans and land. (TRUE)
E. While "Changing Land Use" contributes a net decrease of atmospheric CO₂, that is more than balanced by "Combustion and Industrial Processes." The net "Anthropogenic flux" appears to be positive into the Atmosphere. (FALSE)
F. The blue arrow into Vegetation and Soils is 120, the blue arrow out is 119, so soils take in more CO₂ by natural processes than they release. Likewise, "Changing Land Use" contributes a net increase in CO₂ in the soils and vegetation. Hence, soils do take in more than they release. (TRUE)