This question is of a topic called subset that is a part of set theory.
statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.
I assume the questioner has the basic understanding of set theory and what subsets are.
Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.
Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }" that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set
{11, 13, 15} is not equal to set { 11, 12, 13, 14, 15, 16, ... }.
statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.
statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.
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