Question

Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In

this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.

Answer 1

$20 <= X < = $21

Explanation:

You are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo, x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21