Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution.(1 point)

1000−100w≥500; w≥5

1000−100w≥500; w≤5

1000−100w≤500; w≥6

1000+100w≥500; w≥6

1000−100w≥500; w≥5