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3a -4 < 5 Solve the inequality. Explain all steps and identify the properties used.

adding 4 ... 3a < 9

dividing by 3 ... a < 3

Did you know?

Did you know that solving inequalities involves finding the range of values that make the inequality true? To solve the inequality 3a - 4 < 5, we aim to isolate the variable 'a.' First, we add 4 to both sides of the inequality to get rid of the -4: 3a - 4 + 4 < 5 + 4 This simplifies to 3a < 9. Next, we divide both sides of the inequality by 3 to isolate the variable 'a': (3a)/3 < 9/3 This simplifies to a < 3. Therefore, the solution to the inequality 3a - 4 < 5 is a < 3. The properties used in this solution are the Addition and Division Properties of Inequalities. The Addition Property allows us to add the same value to both sides of the inequality, while the Division Property allows us to divide both sides by the same positive value.