Question

1. $2.7 + |6 - 2x|$ when $x = 4$

Explanation:

Step1: Substitute \( x = 4 \) into the absolute value part

First, we substitute \( x = 4 \) into the expression inside the absolute value, which is \( 6 - 2x \). So we calculate \( 6 - 2\times4 \).
\( 6 - 2\times4 = 6 - 8 = -2 \)

Step2: Calculate the absolute value

The absolute value of a number \( a \) is \( |a|=

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

\). Since \( -2 < 0 \), \( | - 2|=2 \)

Step3: Add the constant term

Now we add the constant term \( 2.7 \) to the result of the absolute value. So we calculate \( 2.7+2 \)
\( 2.7 + 2=4.7 \)

Answer:

\( 4.7 \)