Question

Graph the inequality.3x+4y>4

Answer 1

Given the inequality equation below:

`3x+4y>4`

Find the y-intercept

`\begin{gathered} set\text{ x=0} \\ 3x+4y=4 \\ 3(0)+4y=4 \\ 4y=4 \\ y=(4)/(4)=1 \\ y-intercept\rightarrow(0,1) \end{gathered}`

Find the x-intercept

`\begin{gathered} set\text{ y=0} \\ 3x+4y=4 \\ 3x+4(0)=4 \\ 3x=4 \\ x=(4)/(3) \\ x-intercept\rightarrow((4)/(3),0) \end{gathered}`

Find the shaded area

Hence, the graph is