Question

after détente was abandoned, the u.s. president believed that the cold war could be won by
outspending the soviet union on weapons.
undermining soviet influence in eastern europe.
bombing the soviet union and its satellite states.
engaging the soviet people directly.

Explanation:

After détente ended, U.S. strategy shifted to out - spending the Soviet Union on weapons as a way to win the Cold War. This was part of a broader effort to gain an upper hand in the arms race. Bombing was not a feasible option due to the nuclear stand - off. Engaging the Soviet people directly was not the main strategy, and undermining influence in Eastern Europe was a secondary aspect compared to the arms - race focus.

Answer:

outspending the Soviet Union on weapons.