Question

Write and solve an inequality for the following verbal sentence: Five plus 2 times a number is less than 20.

Short answer

The value of inequality for $5+2x<20$is$x<7.5$ .

Step-by-step solution

Step-1-Define the variable and formulate the inequality

Let the number be x.

The inequality for the given situation is$5+2x<20$ .

Step-2- solve the inequality

$\begin{array}{c}5+2x<20\\ 5+2x-5<20-5\\ 2x<15\\ x<\frac{15}{2}\\ x<7.5\end{array}$

Step-3- Conclusion

Thus, the value of inequality for $5+2x<20$is$x<7.5$ .