Chapter 15.1, Problem 20PSD

To determine

To Find: The solution of the given expression.

Answer to Problem 20PSD

  $x>23$

Explanation of Solution

Given:

  $\left|2x-7\right|>\left|x+20\right|-4$

Formula Used:

  $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$

  $\left|\pm a\right|=+a$

Calculation:

  $\begin{array}{l}\left|2x-7\right|>\left|x+20\right|-4\\ \text{⇒}2x-7>x+20-4\\ \text{⇒}2x-7>x+16\\ \text{⇒}2x-x>16+7\\ \text{⇒}x>23\end{array}$

Conclusion:

Thus, the required solution is $x>23$ .