Thank you for the additional information.
If your total SS benefits for the year are $25,000, you may have up to $19,500 in additional income before any of your SS benefits would be taxable. So if your only other income is $11,000, then none of your SS benefits are subject to tax.
If you are both over the age of 65, your standard deduction would be $13,600 and you would also have two personal allowances of $3,650 each, for a total of $20,900 in deductions against that income. This would leave you with no taxable income and therefore you are not required to file a return and will not owe any taxes.
However, even though you are not required to file a return, if you had any federal or state income taxes withheld from the $11,000, then you would want to file a return to claim a refund of those taxes.
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