Solve the compound inequality and give the solution in interval notation: $$\frac{-3h-11}{2}

$$\left(-\infty, -6\right] \cup \left(-5, \infty\right)$$

Solve the inequality and give the solution in set notation: $$|w - 3| \ge 7$$

$$\left\{w \left| w \le -4 \ or \ w \ge 10 \right| \right\}$$

Choose the statement that describes the solution to this inequality: $$5(6v + 3) \le 30v + 16$$

$$v = \text{All real numbers or infinite solutions}$$

Definition: Absolute Value Inequality

An inequality that involves the absolute value of a variable.

Definition: Literal Equation

An equation that involves two or more variables.

Definition: Solution Set

The set of all values that satisfy an inequality or equation.

Example of a compound inequality: $$-2

The solution is the interval $$(-2, 4)$$ .

Example of interval notation: $$[1, 5)$$

This represents all numbers from 1 to 5, including 1 but not 5.

Definition: Inequality

A mathematical statement that compares two expressions using inequality symbols.

Definition: Infinite Solutions

A situation where any value of the variable satisfies the equation or inequality.

Algebra 2 Fall Semester Exam (2024) Flashcards

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