Question

If the replacement set is a set of integers (I or Z), between -6 and 9, find the solution set of $6x-1\ge 9+x$

• A. {1,2,3,4,5,6,7}
• B. {2,3,4,5,6,7,8}
• C. {0,1,2,3,4,5,6,7}
• D. None of them

Answer 1

The correct option is B

{2,3,4,5,6,7,8}

$6x-1\ge 9+x$ $\Rightarrow 6x-x\ge 9+1$
$\Rightarrow 5x\ge 10andx\ge 2$
Since the replacement set is the set of integers between -6 and 9.
Therefore, Solution Set = {2,3,4,5,6,7,8}