It means you're ok to remain in the us to complete your education (so long as you don't violate the terms of the f visa, e.g. Work without permission).
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It means that you are permitted to remain in the U.S. so long as you do not violate the terms of your visa; in this case, your student visa. You would violate the status by not attending school set forth on your I-20, or by engaging in unsanctioned employment. If you appreciate the time spent preparing this answer, kindly consider marking it BEST ANSWER or HELPFUL. Also, please be sure to read my disclaimer below. Good luck to you.
Dean P. Murray
The Murray Law Firm
560 Sylvan Avenue
Englewood Cliffs, NJ 07632
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