Question

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

Answer 1

Correct choice is A

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.`