Question

The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is

Answer 1

The value of n that satisfies the inequality is 6.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

4n − 12 < 2n + 2

For n= 6

4(6) - 12 = 12

2(6) + 2 = 14

Thus, n=6 satisfies

For n= 7

4(7) - 12 = 16

2(7) + 2 = 16

Thus, n=7 not satisfies

For n=8

4(8) - 12 = 20

2(8) + 2 = 18

Thus, n=8 not satisfies.

For n= 9

4(9) - 12 = 24

2(9) + 2 = 20

Thus, n=9 not satisfies.

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