Pat's chickens lay between 18 and 25 eggs per week. Pat eats 2 eggs per day and feeds the remaining eggs to his dogs.

Complete the inequality which best describes the number of eggs (E) Pat's dogs eat per week.

E = 16 ≤ x ≤ 23

Step-by-step explanation:

Number of eggs laid per week = between 18 and 25

Let x = exact number of eggs laid

Using inequality :

18 ≤ x ≤ 25

Number of eggs Pat eats = 2

18 - 2 ≤ x ≤ 25 - 2

Eggs left after pat eats 2 of the eggs :

16 ≤ x ≤ 23

Hence,

Eggs eaten by pat's dogs :

E = 16 ≤ x ≤ 23

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

can i see the following ?

step-by-step explanation: