Chapter 15.1, Problem 18PSC

To determine

To Find: The solution of the given expression.

Answer to Problem 18PSC

  $x<5$

Explanation of Solution

Given:

  $18-3x>3$

Formula Used:

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

Calculation:

  $\begin{array}{l}18-3x>3\\ \text{⇒}-3x>3-18\\ \text{⇒}-3x>-15\\ \text{On multiplying with }-1\text{ both sides}\\ \text{⇒}3x<15\\ \text{⇒}x<\frac{15}{3}\\ \text{⇒}x<5\end{array}$

Conclusion:

Thus, the required solution is $x<5$ .