The difference between Flexible and Variable

When used as nouns, flexible means something that is flexible, whereas variable means something that is variable.

When used as adjectives, flexible means capable of being flexed or bent without breaking, whereas variable means able to vary.

check bellow for the other definitions of Flexible and Variable

Flexible as an adjective:

Capable of being flexed or bent without breaking; able to be turned or twisted without breaking.

Examples:

"synonyms: pliable"

"ant stiff brittle inflexible"

"When the splitting wind Makes flexible the knees of knotted oaks.'' -[[w:William Shakespeare William Shakespeare]]"
Flexible as an adjective:

Willing or prone to give way to the influence of others; not invincibly rigid or obstinate.

Examples:

"synonyms: tractable manageable ductile"

"Phocion was a man of great severity, and no ways flexible to the will of the people.'' - [[w:Francis Bacon Francis Bacon]]."

"Women are soft, mild, pitiful, and flexible.'' - [[w:William Shakespeare William Shakespeare]]"
Flexible as an adjective:

Capable or being adapted or molded in some way.

Examples:

"synonyms: plastic malleable"

"a flexible language"

"This was a principle more flexible to their purpose.'' -Rogers."

Flexible as a noun (chiefly, engineering, and, manufacturing):

Something that is flexible.

Variable as an adjective:

Able to vary.

Examples:

"variable winds or seasons; a variable quantity"
Variable as an adjective:

Likely to vary.
Variable as an adjective:

Marked by diversity or difference.
Variable as an adjective (mathematics):

Having no fixed quantitative value.
Variable as an adjective (biology):

Tending to deviate from a normal or recognized type.

Variable as a noun:

Something that is variable.
Variable as a noun:

Something whose value may be dictated or discovered.

Examples:

"There are several variables to consider here."
Variable as a noun (mathematics):

A quantity that may assume any one of a set of values.
Variable as a noun (mathematics):

A symbol representing a variable.
Variable as a noun (programming):

A named memory location in which a program can store intermediate results and from which it can read them.
Variable as a noun (astronomy):

A variable star.
Variable as a noun (nautical):

A shifting wind, or one that varies in force.
Variable as a noun (nautical, in the plural):

Those parts of the sea where a steady wind is not expected, especially the parts between the trade-wind belts.