Question 756456


{{{A}}} is a subset of {{{B}}} and {{{A}}} is a subset of {{{C}}}, is {{{B}}} intersection {{{C}}} not equal to {{{A}}}

by definition:

If {{{A}}} and {{{B}}} are sets and every element of {{{A}}} is also an element of {{{B}}}, then:

        {{{A}}} is a subset of (or is included in) {{{B}}},(means {{{B}}} can have more elements  then {{{A}}})

If {{{A}}} and {{{C}}} are sets and every element of {{{A}}} is also an element of {{{C}}},(means {{{C}}} can have more elements  then {{{A}}}) then:

        {{{A}}} is a subset of (or is included in) {{{C}}},

intersection {{{C}}} {{{is}}} could be equal to {{{A}}} if {{{B}}} intersection {{{C}}} has no more elements except elements of set {{{A}}}

so, if there are any elements in {{{B}}} intersection {{{C}}} that are not elements of set {{{A}}}, then {{{B}}} intersection {{{C}}} {{{not}}} equal to {{{A}}}