# 3. Graph the following relations (Note that Z is the set of all integers and R representsthe set of all real numbers):(a) {(r,y),yR, |2 + y] < 1}1315(b) {(x, y)|,y Z,-V10 y104

Question

practice question 3 help_outlineImage Transcriptionclose3. Graph the following relations (Note that Z is the set of all integers and R represents the set of all real numbers): (a) {(r,y),yR, |2 + y] < 1} 13 15 (b) {(x, y)|,y Z, -V10 y10 4 fullscreen
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Step 1

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Given a relation

Step 2 help_outlineImage Transcriptionclose2xy1 By definition of absolute value of a function, 12x yl1 implies -1 2xy1 We consider the first inequality, -1 2xy Add 1 on both side of the equation to bring all terms on one side, 2x+ y+ 1 -1+1 0 2xy 1 fullscreen
Step 3

To plot the g... help_outlineImage TranscriptioncloseNow, we plot the inequality by plotting the graph for 2x y 1 shading the region to hold the inequality, 0 and then 2x y 0 2- (-0.5, 0) 2 2 (0,-1) -2 fullscreen

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### Equations and In-equations 