Question

Solve: $30x<200$, when $x$ is a natural number

• A. $\{1,2,3,4,5,6\}$
• B. $\{2,3,4,5,6\}$
• C. $\{1,2,3,4,5,6,7\}$
• D. $\{4,5,6,7,8,9\}$

Answer 1

The correct option is A $\{1,2,3,4,5,6\}$

Given, $30x<200$
$\Rightarrow 3x<20$
$\Rightarrow x<6.67$
It is given that $x$ is a natural number, i.e. $x\in N$
Therefore, solution set for $x$ includes $1,2,3,4,5,6$ ...($6<6.67$ and $6$ is a natural number, hence it is included in the solution set).
Hence, correct answer is option A.