Question

R = {(x, y): y = lx - 1l, x belongs to Z and |x| less than equal to 3}​

Answer 1

Answer:

R= {(0,1), (1,0), (2,1), (3,2)}

Step-by-step explanation:

R is a set of members x and y such that y = |x-1|, x belongs to integer and absolute value of x is less than or equal to 3

Absolute value of x = |x|

for |0| = 0, so y = |0-1| = |-1| = 1, so (x,y) = (0,1)

for |-1| and |1| is 1, so, y= |1-1| = 0, so (x,y) = (1,0)

for |-2| and |2| is 2, so y = |2-1| = 1, so (x,y) = (2,1)

for |-3| and |3| is 3, ( 3 included as it is less than or equal to 3)

so, y = |3-1| = 2, so (x,y) = (3,2)

R= {(0,1), (1,0), (2,1), (3,2)}

I hope it helps.