Question

$|4x+14|>30$ what is a possible valid value of x?

• A. - 11
• B. 7
• C. 1
• D. - 3

Answer 1

The correct option is B 7

This inequality could be written as:
$4x+14>30$ or $-(4x+14)>30$
Subtract 14 on each side $-4x-14>30$
$4x+14-14>30-14$ Add 14 on both side
$4x>16$ $-4x-14+14>30+14$
$x>4$ $-4x>44$
Divide by -4 on both side
$-\frac{4}{-4}x<\frac{44}{-4}$
$x<-11$
Therefore, anything between -11 and 4 will not work. Hence, the answer is 7.