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 150 shirts on display. The manager wrote the inequality (3/5) x+30≥150 to describe the situation.

A. 3/5 means the fraction of the number of shirts that were left on display out of those that were originally put on display.

B. x ≥ 200.

C. x ≥ 200 implies that the original quantity of shirts that were left on display before selling 2/5 of it was greater than or equal to 200.

Step-by-step explanation:

Here is the complete question

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) x+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.?

Solution

A. 3/5 means the fraction of the number of shirts that were left on display out of those that were originally put on display. This is gotten from 1 - 2/5 = 3/5. Let x be the number of shirts on display. If 2/5 of it were sold, we have (2/5) x. The number left on display out of the original total on display is x - (2/5) x = (3/5) x

B. (3/5) x+30≥150 ⇒ (3/5) x ≥ 150 - 30 ⇒ (3/5) x ≥ 120

So, x ≥ 120 * 5/3

x ≥ 40 * 5

x ≥ 200.

C. x ≥ 200 implies that the original quantity of shirts that were left on display before selling 2/5 of it was greater than or equal to 200.