Question

If the replacement set is the set of Natural numbers, find the solution set for the given linear inequation 9x + 4 < 67.

• A. $\{1,2,3,4,5,6\}$
• B. $\{2,3,4,5,6,7\}$
• C. $\{5,7,8\}$
• D. $\{0,1,2,3\}$

Answer 1

The correct option is A

$\{1,2,3,4,5,6\}$

9x + 4 < 67
If a term is transferred from one side to another side in an inequation, it's sign chnages.
Here, take 4 from left to right
9x < 67-4
9x < 63
If a positive number is multiplied on both the sides of the inequation, the sign of inequality remains the same.
Here, multiply $\frac{1}{9}$ on both the sides of the above inequation.
x < 7
The solution set is $\{1,2,3,4,5,6\}$.