Question 1

Graph the inequality.3x+4y>4

Question 2

Given the inequality equation below:

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

$\begin{gathered} set\text{ x=0, and y=0} \\ 3x+4y>4 \\ 3(0)+4(0)>4 \\ 0+0>4 \\ 0>4\rightarrow false \\ Shade\text{ the side of the line where \lparen0,0\rparen is not includedand use dot line} \end{gathered}$

Hence, the graph is

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