Question

Graph the solution set of each system of inequalities. Graph the solution set of each sx+2y ≤ 63x- 4y < 2

Answer 1

Given:

`\begin{gathered} x+2y\le6\ldots\text{ (1)} \\ 3x-4y<2\ldots(2) \end{gathered}`

We have to take the value of x as zero and to find the value of y in bothe the equations to plot the graph.

By taking the value of x as zero in the first equation,

`\begin{gathered} 2y\le6 \\ y\le3 \end{gathered}`

By taking the value of y as zero in the first equation,

`x\le6`

By taking the value of x as zero in the second equation,

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

By taking the value of y as zero in the second equation,

`\begin{gathered} 3x<2 \\ x<(2)/(3) \end{gathered}`