Question

Where are all the tutors i have a questionGraph the system of inequalities

Answer 1

Step-by-step explanation:

To graph this system we can write each equation in the slope-intercept form first:

`\begin{gathered} y+1\le2x \\ y\le2x-1 \end{gathered}`

This means that this equation represents every point that's located on the line y = 2x - 1 and every point that's below that line:

For the other inequality:

`\begin{gathered} x+2y>4 \\ 2y>4-x \\ y>-(1)/(2)x+2 \end{gathered}`

This inequality represents every point that's above the line y = -1/2x+2. It doesn't include the points that are on the line:

The solutions for this system are all the points that are in the intersection of these two areas:

Answer:

The green point is the intersection between the lines, but is not a solution because it is on the blue line which is dashed, indicating that the line is not included in the solution.

One solution could be point (4,2) or point (7, 3), because they are inside the red shaded area AND inside the blue shaded area.