Chapter 8.7, Problem 66STP

To determine

Find the possible values of x from the options.

Answer to Problem 66STP

  $12>x-5$. Option B is the correct choice.

Explanation of Solution

Given:

4 options are given:

  $\text{A}:x\le 17;\text{B}:x<17;\text{C}:x\ge 17;\text{D}:x>17$

Concept Used:

The length of the rectangle is greater than its width.

Length is 12 cm and width is (x − 5) cm

According to the condition: length > Width

The required inequality: $12>x-5$

Calculation:

The required inequality: $12>x-5$

Solve for x:

  $\begin{array}{l}12>x-5\\ 12+5>x-5+5\\ 17>x\\ x<17[b>c\Rightarrow c<b]\end{array}$

Thus, Option B is correct choice.