[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Measure of third side of the Triangle is " x - 2 "
Now, we know that the sum of other two sides of Triangle is greater than that of third side, that is ;
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x - 2 < 10 + 12[/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x < 22 + 2[/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x < 24[/tex]
And, The difference between two sides of a triangle is always smaller than the third side.
that is ;
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x - 2 > 12 - 10[/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x > 2 + 2[/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x > 4[/tex]
Combining both inequalities, we get ;
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:4 < x < 24[/tex]
Hence, correct choice is C
