Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:
[tex]\sf 950-35x\ge 600[/tex]
Where 'x' is the number of weeks. Now let's solve it for 'x'.
Subtract 950 to both sides:
[tex]\sf -35x\ge -350[/tex]
Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:
[tex]\sf x\le 10[/tex]
So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.