Looks easy but it Isn't

Algebra Level 5

\(|[x] - 2x|=4\)

Number of values of \(x\) which satisfies the above equations is \(a\).

Then find the value of product of values of \(x\) and \(a\)

Example:- if values of \(x\) are 2,4,6,8,9( 5 values) Then write the answer as \(2\times 4 \times 6 \times 8 \times 9 \times 5 = 17280\)

Details and Assumption

  • \([x]\) represent greatest integer function
  • \(|x|\) represent modulus of \(x\)
  • Values of \(x\) need not necessarily be Positive Integers.

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