Fundamental algebraic concepts including equations, inequalities, and functions.
An inequality shows that two values are not necessarily equal. Instead, one is greater, less than, or possibly equal to the other.
Similar to equations, but you use \( >, <, \geq, \leq \) instead of \( = \). When you multiply or divide both sides by a negative number, remember to flip the inequality sign!
Solutions to inequalities are often shown on number lines, which helps you see all possible answers at once.
Inequalities help answer questions like "How many tickets can I buy with $10?" or "What temperatures are safe for ice cream?"
When you see a sign that says "You must be at least 12 years old to ride," that's an inequality: \( x \geq 12 \).
Solve \( x - 3 < 7 \): Add 3 to both sides, \( x < 10 \).
If \( 2y \geq 8 \), then \( y \geq 4 \) because \( 2 \times 4 = 8 \).
Inequalities compare values and show when one side is bigger or smaller than the other.