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Final answer:To find the largest integer that satisfies the inequality 5x - 1 < 10, solve for x and determine the largest integer that satisfies the inequality is 2.Explanation:To find the largest integer that satisfies the inequality 5x - 1 < 10, we need to solve for x. First, add 1 to both sides of the inequality to isolate 5x: 5x < 11. Then, divide both sides of the inequality by 5: x < 11/5. Since we are looking for an integer, the largest integer that satisfies this inequality is 2, as x cannot be greater than 2. Therefore, the answer is x =2.Learn more about Solving inequalities here:brainly.com/question/26855203...