Chapter 1.8, Problem 39P

Use a table to find two consecutive integers between which the solution lies.

$7.5=3.2-2.1n$

To determine

To construct a table to find the two consecutive integers between which the solution lies.

Answer to Problem 39P

− 3 and − 2

Explanation of Solution

Given:

Equation: $7.5=3.2-2.1n$

Calculation:

Consider the given equation,

  $\Rightarrow 7.5=3.2-2.1n$

Create a table for different values of n .

n	$3.2-2.1n$	Value of $3.2-2.1n$
-3	$3.2-2.1(-3)$	9.5
-2	$3.2-2.1(-2)$	7.4
-1	$3.2-2.1(-1)$	5.3
0	$3.2-2.1(0)$	3.2
1	$3.2-2.1(1)$	1.1
2	$3.2-2.1(2)$	-1
3	$3.2-2.1(3)$	-3.1

As the solution to the equation is $3.2-2.1n=7.5$

While observing the table, the values 7.5 lies between $n=-3$ and $n=-2$

Conclusion:

Therefore, the values lie between − 3 and − 2.