Solving One-Variable Inequalities Answers

Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures before she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?

Nala can spend no more than $150 per month on gasoline. She has already purchased $60 in gas this month. Which inequality can be used to find the maximum number of fill-ups she can purchase during the rest of the month, assuming each fill-up costs $30?

Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour days Xavier can work for the rest of the week?

What is the solution to the inequality + 4 ≤ 0?

A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?

The solution to an inequality is graphed on the number line.

The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options.{n | n < 3}{n | n ≥ 3}(3, ∞)

What is the best first step to solve the inequality 5x – 3 ≥ 2?

Mrs. Valdez wanted to determine the number of people, p, she could safely take in her car to the fun run. She determined that p < 5.

Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c < 28. Which statement best describes a possible solution to Cate’s problem?