Answer:
Second graph is the correct option as the solution is [tex]x>4[/tex] and [tex]x<-4[/tex].
Step-by-step explanation:
We are given the inequality, [tex]|x|+3>7[/tex].
On simplifying the inequality, we have,
[tex]|x|+3>7[/tex]
implies [tex]|x|>7-3[/tex]
i.e. [tex]|x|>4[/tex]
Since, we know,
[tex]|x|=\left \{ {{x,x\geq 0} \atop {-x, x\leq 0}} \right.[/tex]
So, we get,
[tex]x>4[/tex] and [tex]-x>4[/tex]
i.e. [tex]x>4[/tex] and [tex]x<-4[/tex]
Thus, the solution is the set of numbers less than -4 and greater than 4.
Hence, the second graph is the correct option.
