# Tag Archives: Absolute Value For handling inequalities involving absolute values and surds, it is required to ensure the domains before solving inequalities. the final solutions must fit in the domains. Example 1 Solve for $x$, $|x| \gt \sqrt{x+2}$. \begin{align} x+2 &\ge 0 &\color{green}{\text{domain of } \sqrt{x+2} } \\ x &\ge -2 \color{green}{\cdots (1)} \\ […] # 4 Important Types of Absolute Value Equations There are 4 main types of absolute value equations regarding whether there are; absolute value and a static value absolute value and an expression involving unknown pronumerals two absolute values in both sides two absolute values and a value Type 1: One Absolute Value and a Constant Solve \( | x-2 | = 5. […] # Absolute Value Inequalities

Absolute Value Inequalities are usually proved by the absolute value of a certain value is greater than or equal to it. The square of the value is equal to the square of its absolute value. Proof of Absolute Value Inequalities Prove $|a| + |b| \ge |a+b|$. \( \begin{aligned} \require{color} |a| &\ge a \text{ and } […]