4x + 7 < 18. I was buying pretzels for the 4 people in my house including me. Can you solve this inequality? First i subtracted 7 from both sides. 4x + 7 -𝟕 < 18 -𝟕 to get 4x + < 11 Then I Divided both sides by the same factor. 4x < 11 __4x__ < __11__ 4 4 After you finish the rest, you get x < _11_ 4

Question

read your peers’ inequalities. Respond to two of your peers by providing a unique real-world problem that could be solved with their inequality. Explain what if would look like to communicate the solution to your real-world problem clearly.

Answer 1

Peer 1:
Inequality: 4x + 7 - 7 < 18 - 7
Simplified: 4x < 11
Result: x < 11/4

Real-world problem: The total cost of the bills in a household can be represented by the expression 4x + 7, where x is the number of months. The household wants to ensure that the total cost of the bills is less than $18. Using the inequality x < 11/4, they can calculate the maximum number of months they can afford the bills before exceeding their budget.

The solution to this real-world problem would be communicated clearly by stating that the household can afford the bills for a maximum of 2 months and 3 weeks before exceeding their budget of $18. It is important to clearly define the context of the problem, specify the value of x, and explain the meaning of the solution in terms of the real-world scenario.

Peer 2:
Inequality: 4x + 7 < 18

Real-world problem: A store is selling pretzels at a discounted price of 7 dollars each. The quantity of pretzels bought by the 4 people in the house, including yourself, is represented by the expression 4x + 7. If the total cost of the pretzels is less than 18 dollars, how many pretzels can each person in the house buy?

The solution to this real-world problem would involve solving the inequality 4x + 7 < 18. After subtracting 7 from both sides, we get 4x < 11. Dividing both sides by 4, we find that x < 11/4. So each person in the house can buy a maximum of 2 pretzels before the total cost exceeds 18 dollars.

To communicate the solution clearly, it is essential to specify the context of the problem, mention the value of x as the number of pretzels each person can buy, and state that the maximum number of pretzels they can buy without exceeding the budget is 2.