Write an expression that shows the multiplication of a two digit number between 1 and 10 and a three digit number between 1 and 10, whose product is greater than 4, but less than 6.

A 2-digit number between 1 and 10 might be 5.3

A 3-digit number between 1 and 10 might be 1.13.

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