Question

Which graph shows the solution to the system of linear inequalities y>11/3x+1, y>2x-3

Answer 1

For this case we have the following system:

`y> \frac {11} {3} x + 1\\y> 2x-3`

To solve, we first change the inequality for an equality:

`y = \frac {11} {3} x + 1\\y = 2x-3`

Matching we have:

`\frac {11} {3} x + 1 = 2x-3\\\frac {11} {3} x-2x = -3-1\\ \frac {5} {3} x = -4\\5x = -12\\x = - \frac {12} {5}`

So:

`y = 2x-3\\y = 2 (- \frac {12} {5}) - 3\\y = - \frac {24} {5} -3\\y = - \frac {39} {5}`

Thus,
`(- \frac {12} {5}, - \frac {39} {5})` is the point of intersection of the dotted lines.

Answer:

The graphic is attached