186k views
2 votes
Given: - 1/2x > 6.

Choose the solution set.

x
x R, x < -12
x R, x > -3
x R, x < -3

User LudoMC
by
7.9k points

2 Answers

5 votes

Answer:

It's option 2.

Explanation:

- 1/2x > 6

Divide both sides by -1/2:

x < -12 (Note the inequality sign flips when we divide by a negative value).

User Omikron
by
9.3k points
4 votes

Answer: x

Explanation:

Given the following inequality:


-(1)/(2)x>6

You can find the solution set by solving for the variable "x".

Then, to solve for the variable "x" you need to multiply both sides of the inequality:


(-(1)/(2)x)(2)>(6)(2)


-x>12

And finally, you must multiply both sides of the inequality by (-1). Notice that the direction of the symbol of the inequality will change:


(-x)(-1)>(12)(-1)


x<-12

Therefore, the solution set is: x ∈ R, x < -12

User Bojan Bozovic
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories