Chapter 3.1, Problem 5P

Determine whether each number is a solution of the given inequality.

$3y+5<20$

a. 2

b. 0

c. 5

To determine

Whether each number is a solution of the inequality $3y+5<20$

Answer to Problem 5P

The solutions of the inequality are

1. 2
2. 0

Explanation of Solution

Given information:The inequality is $3y+5<20$

The numbers are

1. 2
2. 0
3. 5

Calculation:

  $3y+5<\mathrm{20..................}(1)$

Putting, $y=2$ in (1)

  $\begin{array}{l}3y+5\\ =3\times 2+5\\ =10+5\\ =15\\ <20\end{array}$

Thus, $y=2$ is a solution of the inequality.

Putting, $y=0$ in (1)

  $\begin{array}{l}3y+5\\ =3\times 0+5\\ =0+5\\ =5\\ <20\end{array}$

Thus, $y=0$ is a solution of the inequality

Putting, $y=5$ in (1)

  $\begin{array}{l}3y+5\\ =3\times 5+5\\ =15+5\\ =20\end{array}$

Thus, $y=5$ is not a solution of the inequality.

Thus, 2 and 0 are solutions of the inequality.