Question 1144251
let the two consecutive even integers be equal to x and x + 2.
your equation becomes 5x <= 4 * (x + 2)
simplify to get:
5x <= 4x + 8
solve for x to get:
x <= 8


this means that x has to be either:
8 or 6 or 4 or 2 or 0 or -2 or -4 .....


this also means that x cannot be greater than 8, which means that x cannot be either:
10 or 12 or 12 or 16 or 18 .........


when x = 8, the equation becomes 5 * 8 <= 4 * 10 which becomes 40 <= 40 which is true.


when x = 6, which is smaller than 8, the equation becomes 5 * 6 <= 4 * 8 which becomes 30 <= 32 which is true.


when x = 10, which is greater than 8, the equation becomes 5 * 10 <= 4 * 12 which becomes 50 <= 48 which is false.


you can graph this by breaking it up into two equations as listed below.
y = 5 * x
y = 4 * (x + 2)


you graph both these equations on the same graph as shown below.


<img src = "http://theo.x10hosting.com/2019/082701.jpg" alt="$$$" >


the red line is the graph of the equation y = 5x.
the blue line is the graph of the equation y = 4 * (x + 2).


you can see that the red line is below the blue line up until the value of x is equal to 8, after which it is above the blue line.


this visually confirms the fact that 5x <= 4 * (x + 2) when the value of x is less than or equal to 8.