The value of n in the inequality 3n + 1 < 7 is n < 2 and this can be determined by using the arithmetic operations.
Given :
Inequality -- 3n + 1 < 7
The following steps can be used in order to determine the value of 'n' from the given inequality:
Step 1 - Write the given inequality.
3n + 1 < 7
Step 2 - Using the arithmetic operation the given inequality can be used to determine the value of 'n'.
Step 3 - Subtract by 1 from both sides in the given inequality.
3n + 1 - 1 < 7 - 1
3n < 6
Step 4 - Divide by 3 from both sides in the above inequality.
[tex]\rm \dfrac{3n}{3} < \dfrac{6}{3}[/tex]
n < 2
Therefore, the correct option is C).
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