Chapter 3.6, Problem 20E

To determine

To calculate:solve the inequality for $14p-5\ge -3p+114$ .

Answer to Problem 20E

The value of inequality for $14p-5\ge -3p+114$ is $p\ge 7$ .

Explanation of Solution

Given information : consider, the inequality provided in the question

  $14p-5\ge -3p+114$ .

Calculation : to solve this inequality firstadd 3p and 5 both side, then divide the result by 17.

  $14p-5\ge -3p+114$

  $\begin{array}{l}14p-5+3p+5\ge -3p+114+3p+5\\ 17p\ge 119\\ p\ge 7\end{array}$

  

Hence,

Thus, the value of inequality for $14p-5\ge -3p+114$ is $p\ge 7$ .