What is the solution to the inequality 4(2x plus 2) plus 12 and gt 1004(2x plus 2) plus 12 and gt 100?

What is the solution to the inequality 4(2x plus 2) plus 12 and gt 1004(2x plus 2) plus 12 and gt 100?
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There is no solution to:4(2x + 2) + 12 > 1004(2x + 2) + 12 > 100For 4(2x + 2) + 12 > 1004(2x + 2) + 12 to have a solution x< -1 which makes 1004(2x + 2) + 12 < 12, BUT 1004(2x + 2) +12 is supposed to be greater than 100.Perhaps there is a missing operator in the digits of 1004?
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