Answer:
Correct choice is A
Step-by-step explanation:
The line [tex]2x+4y=3[/tex] divides the coordinate plane into two semiplanes (top and bottom).
The inequality [tex]2x+4y\ge 3[/tex] represents the region of all points (x,y) (including line [tex]2x+4y=3[/tex]) which coordinates satisfy the inequality [tex]2x+4y\ge 3.[/tex] Actually, this region is top semiplane (red region).
The inequality [tex]2x+4y\le 3[/tex] represents the region of all points (x,y) (including line [tex]2x+4y=3[/tex]) which coordinates satisfy the inequality [tex]2x+4y\le 3.[/tex] This region is exactly bottom semiplane (blue region).
These two semiplanes intersect by line [tex]2x+4y=3.[/tex]
All another options contain some inequalities that do not include the line [tex]2x+4y=3.[/tex]
