Question

How many numbers in the set {-4, -3, 0, 2} satisfy the conditions $|y-4|\le 6$ and |y + 4| < 5?

• A. 3
• B. 1
• C. 2
• D. None of these

Answer 1

The correct option is B 1

$|y-4|\le 6\Rightarrow -2\le y\le 10|y+4|<5\Rightarrow -9<y<1$
$\therefore$ Combining the two region we get.
$-2\le y<1$
$\therefore$ Only one element satisfies the condition, which is 0.