The difference between Agender and Gender-neutral
When used as adjectives, agender means without an associated gender, whereas gender-neutral means applicable or available to all genders.
check bellow for the other definitions of Agender and Gender-neutral
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Agender as an adjective (rare):
Without an associated gender.
Examples:
"An agender noun includes both the masculine and feminine forms."
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Gender-neutral as an adjective:
Applicable or available to all genders.
Examples:
"The women's sleeping quarters are on the left side of the dormitory, the men's are on the right; gender-neutral restrooms are located in the middle."
"Many modern laws use gender-neutral constructions like "he or she" in place of the old, supposedly unmarked "he"."
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Gender-neutral as an adjective:
Not indicating or restricted by gender, and thus applicable or available to those of any gender and to those of no gender.
Examples:
"Gender-neutral pronouns like "ey" and "ze" are used by many genderqueer, intersex, and neutrois individuals."
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Gender-neutral as an adjective (grammar):
In languages where words are assigned to one gender or another, lacking such an assignment.