Question

Solving Linear Inequalities Quick Check 1 of 51 of 5 Items Question What property of inequality justifies the steps shown in the following solution process? 43d≥−20 34(43)d≥−20(34) d≥−15 (1 point) Responses Multiplication Property of Inequality Multiplication Property of Inequality Addition Property of Inequality Addition Property of Inequality Subtraction Property of Inequality Subtraction Property of Inequality Division Property of Inequality Division Property of Inequality Skip to navigation page 13 of 13

Answer 1

The justification for the steps shown in the solution process is the Multiplication Property of Inequality.

This property states that if you multiply both sides of an inequality by a positive number, the direction of the inequality remains the same. In your case, multiplying both sides of the inequality \(43d \geq -20\) by \(34\), a positive number, leads to \(34(43d) \geq 34(-20)\) and simplifies down to \(d \geq -15\).