Required information note: this is a mult-part once an answer is submitted, you will be unable to return to this part consider a positive integer n put the steps in cortect order to prove that if n is even, then 7n+ 4 is even (you must provide an answer before moving to the next part) es rank the options below this is 2 times an integer, so it is even since n is even, it can be written as 2k for some integer k then 7n+ 414k+ 4-2(7k+ 2)

Answer with Step-by-step explanation:

Suppose a positive integer n.

We have to prove that if n is even , then 7n+4 is even .

We are given some steps in order to prove this we have to arrange in correct order.

If n is even, it can be written as 2k

n=2k  for some integer k

Then substitute the value of n then we get

This is 2 times an integer , so it is even.

Hence, proved.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is