Identifying Inequality Properties in Logistics

Example: Demonstrating the Addition and Subtraction Properties of Inequality

Example: Solving and Graphing $x - \frac{3}{8} \leq \frac{3}{4}$

Example: Solving and Graphing $p - \frac{3}{4} \geq \frac{1}{6}$

Example: Solving and Graphing $r - \frac{1}{3} \leq \frac{7}{12}$

Example: Translating and Solving 'Twenty-seven less than $x$ is at least 48'

If $a < b$, which property guarantees that $a + 10 < b + 10$?

If $a < b$, then adding a negative number $c$ to both sides gives $a + c < b + c$.

Given $a < b$, put the steps in order to show $a + 5 < b + 5$.

Adding the same number to both sides of an inequality without changing its direction is called the ______ Property of Inequality.

If $a < b$, then $a + c < b + c$ for any number $c$.

Match each term to its meaning for the Addition Property of Inequality.

Read the case below, then answer the questions that follow.

If $a < b$, and the same number $c$ is added to both sides, which statement is true?

If $a < b$, then $a + c < b + c$ for any number $c$. Name this property and explain why the inequality symbol stays the same.