Question

If the replacement set is a set of integers (I or Z), between -6 and 8, find the solution set of $15-3x>x-3$

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

Answer 1

The correct option is B {-5,-4,-3,-2,-1,0,1,2,3,4}

$15-3x>x-3$ $\Rightarrow x-3<15-3x$
$\Rightarrow x+3x\ge 15+3$
$\Rightarrow 4x<18andx<4.5$
Since the replacement set is the set of integers between -6 and 8.
Therefore, Solution Set = {-5,-4,-3,-2,-1,0,1,2,3,4}