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Chapter 1: Q54. (page 39)

If 4-5n鈮�-1, then localid="1647865234189" ncould equal all of the following except:

A. -15 B. 15 C. 1 D. 2

Short Answer

Expert verified

n cold be values exceptoption D that is 2.

Step by step solution

01

- Define the variable.

A variable is a term that is used to represent an unknown value.

02

- State the inequality.

The inequality is:

4-5n鈮�-1

03

- Solve the inequality.

To simplify the inequality, use the subtraction property.

Simplify the inequality as shown below:

4鈭�5n鈮�鈭�14鈭�5n+5n鈮�鈭�1+5n4+1鈮�鈭�1+5n+15鈮�5n1鈮�nn鈮�1

Therefore, n鈮�1.

04

- State the conclusion.

As n鈮�1.

Option A that is -15 is less than 1. So, ncan take the value -15.

Option B that is 15 is less than 1. So, ncan take the value 15.

Option C that is 1 is equal 1. So, ncan take the value 1.

Option D that is 2 is greater than 1. So, ncannot take the value 2.

Therefore, nbe equal to all the options that is (A, B, C) except option D (that is 2).

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