Question

Solve and write in interval notation. 4|x+4|+5>5

Answer 1

Hi,


Solving:

$4 |x + 4| + \not5 > \not5 \\ 4 |x + 4| > 0 \\ 4 |x + 4| = 0 \: \: \: \: \: | \div 4 \\ |x + 4| = 0 \\ x + 4 = 0 \\ x = - 4 \\ x \in \: r \: \: \: \: \: ( - 4)$

Answer: The inequality is true for any value of x, except when X = -4


Hope this helps.
r3t40

Answer 2

$4|x+4|+5>5\\\\4|x+4|>0\\\\|x+4|>0\\\\x+4>0 \vee x+4<0\\\\x>-4 \vee x<-4\\\\x\in(-\infty,-4)\cup(4,\infty)$