Question

Please help!!! Will mark brainlist

Answer 1

Answer:

Not a Solution

Step-by-step explanation:

We are given two inequalities which are

y ≤ x -4                        .............(i)

-x+3y>-4                       ............(ii)

Also we are given an ordered pair which is (5, 1/3)

Now from this order pair we see that

x = 5 and y = 1/3

Because in an ordered pair the first element represents the x value while the second value represent the y value

Now to find whether this order pair satisfies the given inequality or not we have to plugin the values of x and y in both inequalities separately and see whether it satisfies the in equality or not

Taking First inequality:

which is

y ≤ x -4

Putting x = 5 and y = 1/3 in inequality

it becomes

$\frac{1}{3}$ ≤ 5 -4

$\frac{1}{3}$ ≤ 1             ∵ which is true

So this inequality holds the order pair

Taking second inequality:

which is

-x+3y> -4

Putting x = 5 and y = 1/3 in inequality

it becomes

-5+$\frac{1*3}{3}$ >  -4

-5+1 >-4        

-4>-4                            ∵ which is false because - 4 = - 4

So this inequality does not holds the order pair

So the order pair is not solution of the given inequalities because of the reason that second inequality is not satisfied