Determine if the ordered pair (6,4) is a solution to the inequality?

No because (6, 4) is on the line

Step-by-step explanation:

x = 6

y = 4

        1

4 > ------- 6  + 7

        2

       6

4>  ------     + 7

        2

4 > -3 + 7

4 > 4

that is not true so the answer is no because ( 6, 4) is on the line

1; 35 is the ratio

step-by-step explanation:

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