A certain number is 20% of Number A
That number is also 40% of Number B

Which number is bigger: A or B?

A is bigger

Step-by-step explanation:

lets say the certain number is 10 and if its 20% of Number A that would mean that number A is 50 and that would also mean that number B is 25 so since 50 is bigger then 25 that would mean number A is bigger

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