Solve for x: −2x − 4 > 8
-2x-4 > 8
-2x > 12
x < -6
Wait, what? Why did I reverse the direction of the greater than sign to a less than sign? Well, when you divide a negative number in an inequality problem, you need to reverse the sign. I hope the actual solving is obvious. If it's not, just ask for clarification!
The appropriate solution of the given question will be "-6".
The given expression is:
→ \(-2x-4>8\)
By adding "4" both sides, we get
→ \(-2x-4+4>8+4\)
→ \(-2x>12\)
As we know, we will have to flip the signs if we split a negative (-) integer into the issue of inequality.
then,
→ \(x<-\frac{12}{2}\)
→ \(x<-6\)
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