Question

Given x $\in$ {whole numbers},find the solution set of:

$-1\le 3+4x<23$

• A. { 0,1,2,3,4,5 }
• B. { 0,1,2,3,4 }
• C. { -1,0,1,2,3,4 }
• D. { -1,0,1,2,3,4,5 }

Answer 1

The correct option is B

{ 0,1,2,3,4 }

Given:

$-1\le 3+4x<23$

$\Rightarrow -1\le 3+4xand3+4x<23$

$\Rightarrow -4\le 4xand4x<20$

$\Rightarrow x\ge -1andx<5$

Since x $\in$ {whole numbers},

Solution set={ 0,1,2,3,4 }