Question

9. You left your wallet in your car. A friend is texting you to go to the movies. You will need $12.95 for a ticket. You think you have $20 in your wallet, give or take $5. Write and solve an absolute value inequality representing the possible amount of money in your wallet. Can you afford to go to the movie?

Answer 1

Let x represent the amount of money in your wallet.

The money you may have in the wallet is $20 give or take $5, you can symbolize this as:

$20 ± $5 → you can expend the expression and write it as an inequation:

$20-$5 ≤ x ≤ $20+$5

Solve the calculations to determine the values of the possible amount in your wallet:

$15 ≤ x ≤ $25

The possible amount of money in the wallet is between $15 and $20, the movie ticket costs $12.95 which is less than the possible amounts.

You can afford to pay for the movie ticket.