Question

The solution set for the inequation 6x + 22 < 41, x $\in$ W is .

• A. {0, 1, 2, 3}
• B. {0, 1, 2, 3, 4}
• C. {1, 2, 3}
• D. {1, 2, 3, 4}

Answer 1

The correct option is A {0, 1, 2, 3}

Given: 6x + 22 < 41

Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the following inequation.
6x + 22 < 41
Transfer +22 to the right hand side of the inequation
6x + < 41 - 22
6x + < 19
$\Rightarrow$ x < 3.16.
Given, x $\in$ W
Hence, Whole numbers less than 3.16 are 0, 1, 2, and 3.
Hence, the solution set is {0, 1, 2, 3}