Chapter 2.1, Problem 56E

To determine

To calculate:

Inequality that represents missing dimension $x$ .

Answer to Problem 56E

Given condition does not satisfied the solution and inequality will be.

  $x\ge 1.6$

Explanation of Solution

Given information:

  

Calculation:

It is given that area is greater than or equal to $8sq.ft$

So inequality will be,

  $a\ge 8$

Formula for the area of right angle triangle,

  $A=\frac{a.b}{2}\mathrm{...}\left(1\right)$

From given diagram, $a=x,b=10ft$

So put $a=x,b=10ft$ in eq.(1)

  $\begin{array}{l}A=\frac{10x}{2}\\ A=5x\end{array}$

Thus, given sentence satisfied the solution.

  $\begin{array}{l}5x\ge 8\\ x\ge 8/5\\ x\ge 1.6\end{array}$