Chapter A2, Problem 1CP

(a)

To determine

To calculate: The value of the expression $\left|\frac{120}{x}+6\right|$ at $x=4$.

Answer to Problem 1CP

Solution:

The value of the expression $\left|\frac{120}{x}+6\right|$ at $x=4$ is 36

Explanation of Solution

Given information:

The provided expression $\left|\frac{120}{x}+6\right|$.

Calculation:

Consider the expression, $\left|\frac{120}{x}+6\right|$

Now put $x=4$ in the above expression.

$\begin{array}{c}\left|\frac{120}{x}+6\right|=\left|\frac{120}{4}+6\right|\\ =36\end{array}$

Therefore, the value of $\left|\frac{120}{x}+6\right|$ at $x=4$ is 36

(b)

To determine

To calculate: The value of the expression $\left|\frac{120}{x}+6\right|$ at $x=-2$.

Answer to Problem 1CP

Solution:

The value of expression is 54.

Explanation of Solution

Given information:

The provided expression is, $\left|\frac{120}{x}+6\right|$

Calculation:

Consider the given expression, $\left|\frac{120}{x}+6\right|$

Put $x=-2$ in the above expression

$\begin{array}{c}\left|\frac{120}{x}+6\right|=\left|\frac{120}{-2}+6\right|\\ =\left|-54\right|\\ =54\end{array}$

Therefore, the value of $\left|\frac{120}{x}+6\right|$ at $x=-2$ is 54.