Scrabble Dictionary

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Yes, invert is playable

...and is worth 11 points.

Found in the following dictionaries

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OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Invert" Definition

noun

Psychology In the theory of Sigmund Freud, a homosexual person. No longer in scientific use.
Psychology One who takes on the gender role of the opposite sex.
Something inverted.
One characterized by.

verb-intransitive

To be subjected to inversion.

verb-transitive

To reverse the position, order, or condition of: invert the subject and predicate of a sentence.
To subject to inversion. See Synonyms at reverse.
To turn inside out or upside down: invert an hourglass.

verb

To reverse in position, order, or relationship.
To subject to.
To turn inside out or upside down.
To turn inward.
To find the mathematical reciprocal of.