She is the founder and current leader of the People's Party, and has served as a member of the Althing since her election in 2017.

Inga has served as the Minister of Social Affairs and Housing in the cabinet of Kristrún Frostadóttir since 2024.

For the first two years of her life, Inga was blind after suffering damage to her brain stem due to incorrect medication taken after contracting chickenpox and meningitis.

Inga was raised in an impoverished family, and has stated that her political beliefs are influenced by this upbringing.

[10] Following the 2024 election, Kristrún Frostadóttir of the Social Democratic Alliance announced her intention to negotiate a coalition government with the People's Party and Viðreisn.