Use complete sentences to describe the relationship between the two sets a and b if a ⊆ b .

The relationship between the two sets A and B if A ⊆ B is A is subset of B

Solution:

A is subset of B means,” all elements of set A are present in set B”  

Consider two sets A and B where ,

A = {1,2,3,4,5}

B = {1,2,3,4,5,6,7,8}

All Elements of set A {1,2,3,4,5} are present in set B  

hence we relate set A and set B as A ⊆ B,which means set A is subset of set B. Symbol “⊆” is used to denote subset  

So set A is subset of set B (A ⊆ B)  

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.