Let S=\4,6,9 and T=\9,10,11,, 1000. If A= ₁+a₂+ +a k: k N, a₁, a₂, a₃,, a k. ε S, then the sum of all the elements in the set T-A is equal to _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Morning shift · Q46

JEE Main 202229 Jul, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

S=\{4,6,9\}

and

T=\{9,10,11, \ldots, 1000\}

. If

A=\left\{a_{1}+a_{2}+\ldots+a_{k}: k \in \mathbf{N}, a_{1}, a_{2}, a_{3}, \ldots, a_{k}\right.

\epsilon S\}

, then the sum of all the elements in the set

T-A

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.