Question bank: First Degree Inequality

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Question 1:

Easy

What is the first-degree inequality that represents the following situation: 'any number added to 3 is greater than 5'?

First Degree Inequality

Question 2:

Easy

What is the solution of the inequality 3x + 2 < 7 for x belonging to real numbers?

First Degree Inequality

Question 3:

Medium

The mayor of a city is carrying out a project to improve the neighborhoods and has a fixed budget of R$ 80,000. For each square meter of sidewalk paving, the cost is R$ 30, and for each square meter of gardening, the cost is R$ 20. Let x be the number of square meters to be paved and y the number of square meters of gardens to be made, so that the total expense does not exceed the available budget.

First Degree Inequality

Question 4:

Hard

During a math competition, a team of students needs to calculate the interval of values for x that satisfies the inequality 3x - 5 < 2x + 11. Then, they must relate this interval to the maximum number of hours a group of students can volunteer at a shelter, considering that each student can volunteer from 2 to 4 hours, inclusive. If the number of students volunteering for 2 hours is twice the number of students volunteering for 3 hours, and the total number of students volunteering for 2, 3, or 4 hours is 30, determine the maximum number of hours this group could volunteer and justify your answer based on the solution of the inequality.

First Degree Inequality

Multidisciplinary Question

Question 5:

Easy

To encourage the practice of using mathematics in daily life, a school is organizing a fundraising event for a charity institution. The amount raised, in reais, is represented by a variable x. It is known that the school has set the minimum fundraising goal as being twice the amount needed to buy a set of books that cost R$50 each. Write and solve a first-degree inequality that represents the situation, determining the range of values of x that meet the minimum fundraising goal established by the school. Consider that the inequality should be of the type 2x - 100 > 0, where 2x represents twice the amount needed to buy the books and 100 is twice the cost of the books for the minimum fundraising goal.

First Degree Inequality

Multidisciplinary Question

IARA TIP

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