Question

assignments courses alternate quiz mathematics 800
1 2 3 4 5 6
-(-4) < |-3|
true false

Explanation:

Step1: Simplify left - hand side

Simplify \(-(-4)\). According to the rule \(-(-a)=a\), so \(-(-4) = 4\).

Step2: Simplify right - hand side

Simplify \(|-3|\). According to the definition of absolute value \(|a|=

$$\begin{cases}a,a\geq0\\-a,a < 0\end{cases}$$

\), so \(|-3|=3\).

Step3: Compare the two results

Compare \(4\) and \(3\). Since \(4>3\), the inequality \(-(-4)<|-3|\) is false.

Answer:

False