The correct answer is option 2: x>-2
Step-by-step explanation:
the inequalities' solutions are obtained y=by using the same rules as equality except there are some differences.
Given inequality is:
[tex]-4x<8[/tex]
Dividing both sides by 4
[tex]\frac{-4x}{4}<\frac{8}{4}\\-x<2[/tex]
As the variable has to be positive, we will multiply the inequality by -1.
When an ineaulity is multiplied by a negative number, the symbol of inequality is reversed i.e. < will be converted into >
So,
[tex]-1(-x)<-1(2)\\x>-2[/tex]
Hence,
The correct answer is option 2: x>-2
Keywords: Inequality, Variables
Learn more about inequality at:
- brainly.com/question/2048256
- brainly.com/question/2115122
#LearnwithBrainly
