Answer
The ordered pair \[\left( 3,2 \right)\] is a solution of the inequality \[x+y>1\], because when \[3\] is substituted for \[x\] and \[2\] is substituted for\[y\], the true statement \[5>1\] is obtained.
Work Step by Step
As each point in the rectangular coordinate system corresponds to an ordered pair of real number, i.e.,\[\left( x,y \right)\]. In the given statement, \[x\] corresponds to \[3\] and \[y\]corresponds to\[2\]. As the first number of each pair is \[x\] and it denotes the horizontal distance and direction from the origin along the \[x\] axis and the second number of each pair is \[y\]and it denotes the vertical distance and direction along a line or parallel to the axis. From the given statement, the ordered pair \[\left( 3,2 \right)\] is a solution to the inequality when to substitute \[x\] and \[y\] value, respectively in the inequality and when solved the inequality, the true statement \[5>1\] is obtained.
