The solution set of inequality $2x+3y < 4$ is :

an open half plane containing the origin.

The correct answer is Option (2) → an open half plane containing the origin.

$2x+3y < 4$

drawing graph

using $2x+3y=4$ at reference solution set

checking for (0, 0)

$2(0)+3(0)<4$

so solution region is on open half plane containing origin below space by line $2x+3y=4$