Question

Find the complete solution set which satisfy the inequality:

$-17<9y-8;y\in Z$.

• A. $\{0,1,2,3\}$
• B. $\{0,1,2,3,4\}$
  
• C. Data incorrect
  
• D. None of these
  

Answer 1

The correct option is D None of these

$-17<9y-8$
$\Rightarrow -17+8<9y$
$\Rightarrow -9<9y$
$\Rightarrow 9y>-9$
$\Rightarrow y>\frac{-9}{9}$
$\Rightarrow y>-1$
$\because$ the replacement set $=Z$ (integers)
$\therefore$ solution set $=0,1,2,3,\mathrm{4...}$