Identify true and false number sentences

Today we will learn how to identify true and false number sentences. Math helps us solve problems and understand the world around us.

Inequalities are mathematical statements comparing two quantities using >, <, ≥, ≤, or ≠. Reading: 3x + 5 > 14 says "3 times x plus 5 is greater than 14." Solving: treat like an equation EXCEPT when multiplying or dividing both sides by a negative number, flip the inequality sign (−2x > 6 → x < −3). Graphing on a number line: open circle for strict inequality (>) means the endpoint is NOT included; closed circle for ≥/≤ means it IS included; arrow shows the solution set direction. Checking solutions: substitute the value into the original inequality and verify it makes a true statement. Compound inequalities: "and" (intersection—both must be true, graph shows overlap), "or" (union—either can be true, graph shows both parts). Inequalities model real-world constraints like budgets and speed limits.

Let's break this down step by step so it's easy to understand. Follow along with the examples, and don't worry if it takes some practice to get the hang of it!

Remember: Making mistakes is part of learning. If something is tricky, try again, look at the examples, or ask for help.