When a store had sold 2/5 of the shirts that were on display, they brought out another 30 from the stockroom. the store likes to keep at least a 150 shirts on display. the manager wrote the inequality 3/5× + 30 > _ 150 to describe the situation. a. explain what 3/5 means in the in equality. b. solve the in equality. c.explain what the solution means in the situation.?

(1 - 2/5) shirts are left

x ≥ 200

Solution means that before 2/5 shirts were sold, there were 200 shirts.

Step-by-step explanation:

Given in the question the inequality

3/5x + 30 ≥ 150

Suppose number of shirts that were on display = x

A)

Explain what 3/5 means in the in equality

As stated in the question2/5 of the shirts are sold means

(1 - 2/5) shirts are left

3/5 = (1 - 2/5)

B)

3/5x + 30 ≥ 150

3/5x ≥ 150 - 30

3/5x ≥ 120

x ≥ 120 * (5/3)

x ≥ 200

C)

Solution means that before 2/5 shirts were sold, there were 200 shirts.

5

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