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The right solution is THIS:
-4x - 6 > 18 ====> add 6 to both sides. You will get an EQUIVALENT inequality
-4x > 18 + 6, which is the same as
-4x > 24.
Now divide both sides by the number (-4). Since you divide both sides of the inequality by negative number,
you MUST change the inequality sign by the opposite one. So you get
x < , which is the same as
x < -6.
It is your ANSWER: x < -6.
Solved.
The solution by @Shin123 is W R O N G.
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Hey, @Shin123: WHAT ARE YOU DOING HERE IN THE FORUM posting one incorrect solution after another? ? ?