Are diversity and inequality are same?

Inequality - the condition of being unequal; lack of equality; disparity

Diversity - the state or fact of being of a different kind, form, character, etc.; unlike

No, Inequality means that they are unequal, or completely different (eg. an Apple and a water bottle are unequal).

Diversity is a SIMILAR term, but not the same. Diversity is when there is a variety of things (eg. Granny Apple and a Red Apple and an orange are an example of diversity in a refrigerator).