Answer :
-2x - 4 > 10
Multiply both sides by -1 and reverse the inequality symbol.
2x + 4 < -10
Now subtract both sides by 4.
2x + 4 - 4 < -10 - 4
2x < -14
Divide both sides by 2.
2x/2 < -14/2
x < -7
Multiply both sides by -1 and reverse the inequality symbol.
2x + 4 < -10
Now subtract both sides by 4.
2x + 4 - 4 < -10 - 4
2x < -14
Divide both sides by 2.
2x/2 < -14/2
x < -7
[tex]-2x-4 > 10\ \ \ \ |add\ 4\ to\ both\ sides\\\\-2x > 14\ \ \ \ |change\ the\ signs\\\\2x < -14\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x < -7\to x\in(-\infty;-7)}[/tex]
