Question

Complete the set of ordered pairs for the relation.

Answer 1

The set of ordered pairs are $(-2,18),(-1,20),(0,22),(1,24),(2,26)$

Step-by-step explanation:

Given that the relation $\{(x, y): y=2(x+11) \text { and } x \in(-2,-1,0,1,2)\}$

To find the set of ordered pairs, let us substitute the value for x in the relation $y=2(x+11)$

For $x=-2$,

$\begin{aligned}y &=2(-2+11) \\&=2(9) \\y &=18\end{aligned}$

The ordered pair is $(-2,18)$

For $x=-1$,

$\begin{aligned}y &=2(-1+11) \\&=2(10) \\y &=20\end{aligned}$

The ordered pair is $(-1,20)$

For $x=0$,

$\begin{aligned}y &=2(0+11) \\&=2(11) \\y &=22\end{aligned}$

The ordered pair is $(0,22)$

For $x=1$,

$\begin{aligned}y &=2(1+11) \\&=2(12) \\y &=24\end{aligned}$

The ordered pair is $(1,24)$

For $x=2$,

$\begin{aligned}y &=2(2+11) \\&=2(13) \\y &=26\end{aligned}$

The ordered pair is $(2,26)$

Thus, the set of ordered pairs is $(-2,18),(-1,20),(0,22),(1,24),(2,26)$