4x+15<120 as real world inequality (answer is 26.25)

Answer 1

Let's solve the inequality:

4x + 15 < 120

Subtract 15 from both sides:

4x < 120 - 15

4x < 105

Divide both sides by 4:

x < 105/4

x < 26.25

So the solution to the inequality is x < 26.25.

To represent this inequality in a real-world scenario, we can consider a situation where a person is buying tickets for a concert. Let's say the tickets cost $4 each. The person has $15 and wants to know how many tickets they can buy without exceeding $120 in total expenses.

Let x represent the number of tickets the person can purchase.

The expression 4x + 15 represents the total expense, which should be less than 120. Hence, the inequality can be represented as:

4x + 15 < 120

To find the maximum number of tickets the person can purchase, we solve the inequality as shown above, and the solution is x < 26.25. Therefore, the person can purchase a maximum of 26 tickets (since they cannot buy a fraction of a ticket).