Question

Which system of any qualities has a line as a solution?

Answer 1

Answer:

Correct choice is A

Step-by-step explanation:

The line $2x+4y=3$ divides the coordinate plane into two semiplanes (top and bottom).

The inequality $2x+4y\ge 3$ represents the region of all points (x,y) (including line $2x+4y=3$) which coordinates satisfy the inequality $2x+4y\ge 3.$  Actually, this region is top semiplane (red region).

The inequality $2x+4y\le 3$ represents the region of all points (x,y) (including line $2x+4y=3$) which coordinates satisfy the inequality $2x+4y\le 3.$ This region is exactly bottom semiplane (blue region).

These two semiplanes intersect by line  $2x+4y=3.$

All another options contain some inequalities that do not include the line $2x+4y=3.$