Answer:
Option B If Justin buys the hat and the jeans, solving the inequality for x, will tell him the maximum number of bags of socks he can buy
Option D. If Justin buys the hat, jeans, and the maximum number of bags of socks, he will have enough money left to buy a belt that is on sale for $7.99
Step-by-step explanation:
Let
x ----> the number of bags of socks
we know that
The number of bags of socks that Justin can buy multiplied by it cost, plus the cost of the hat plus the cost of a pair of jeans, must be at most $110
so
The inequality that represent this situation is
solve for x
Combine like terms left side
subtract 65 both sides
Divide by 12 both sides
The maximum number of bags of socks is 3
If Justin buys the hat but not the jeans, then the inequality that represent this situation is
<u><em>Verify each statement</em></u>
case A) If x is the number of bags of socks Justin can buy, then the inequality representing this situation is x < 3
The statement is false
The inequality that represent this situation is
The maximum number of bags of socks is 3
case B) If Justin buys the hat and the jeans, solving the inequality for x, will tell him the maximum number of bags of socks he can buy
The statement is true
see the explanation
case C) If Justin buys the hat but not the jeans, solving the inequality for x will tell him the maximum number of bags of socks he can buy
The statement is false
Because the inequality will be
case D) If Justin buys the hat, jeans, and the maximum number of bags of socks, he will have enough money left to buy a belt that is on sale for $7.99
The statement is true
Because
The total cost is
The amount of money left is
therefore
If Justin buys the hat, jeans, and the maximum number of bags of socks, he will have enough money left to buy a belt
