Chapter 6.1, Problem 46PPS

To determine

Find the choice which is not a correct solution.

Answer to Problem 46PPS

Option B is not a correct solution.

Explanation of Solution

Given:

Inequality equation: $-5n+2\ge 17\text{or}2n+1>5$

4 options are given:

  

Concept Used:

Inequality equation: $-5n+2\ge 17\text{or}2n+1>5$

Calculation:

Inequality equation: $-5n+2\ge 17\text{or}2n+1>5$

Solve the inequality simultaneously:

We need to follow a rule while solving the inequality.

Rule: Dividing each side by a negative number always reverses the inequality symbol.

  $\begin{array}{l}-5n+2\ge 17\text{or}2n+1>5\\ -5n+2-2\ge 17-2\text{or}2n+1-1>5-1\\ -5n\ge 15\text{or}2n>4\\ \frac{-5n}{-5}\le \frac{15}{-5}\text{or}\frac{2n}{2}>\frac{4}{2}\\ n\le -3\text{or}n>2\end{array}$ Solution: close dot at − 3 and open circle at 2

Solution: close dot at − 3, pointing to left and open circle at 2, pointing to right.

Thus, option B is not a correct solution.