Answer:
[tex]x\:>\:4[/tex] or [tex]x\:<\:-4[/tex]
Step-by-step explanation:
The given absolute value inequality is [tex]-2|x|\:<\:-8[/tex]
Divide both sides of the inequality by -2 and reverse the inequality sign:
[tex]|x|\:>\:4[/tex]
By the definition of the absolute value function;
Either [tex]x\:>\:4[/tex] or [tex]-x\:>\:4[/tex]
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
[tex]x\:>\:4[/tex] or [tex]x\:<\:-4[/tex]
