Question

1. which properties of inequality should be used to solve 2x + 5 > 11? select all that apply. multiplication property of inequality addition property of inequality subtraction property of inequality division property of inequality

Explanation:

Step1: Isolate the term with the variable

To solve $2x + 5>11$, first, we want to get rid of the $+ 5$ on the left - hand side. We use the subtraction property of inequality. Subtract 5 from both sides of the inequality: $2x+5 - 5>11 - 5$, which simplifies to $2x>6$.

Step2: Solve for the variable

Next, to get $x$ alone, since $x$ is multiplied by 2, we use the division property of inequality. Divide both sides of the inequality $2x>6$ by 2: $\frac{2x}{2}>\frac{6}{2}$, which gives $x > 3$.

Answer:

subtraction property of inequality, division property of inequality