Given: -1/2 x > 6. Choose the solution set. x R, x > -12 x x R, x > -3 x R, x < -3

Question

Given: -1/2 x > 6. Choose the solution set. x x x x

Answer 1

x

Explanation:

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

multiply both sides by - 2

Remembering to reverse the inequality symbol as a consequence of multiplying by a negative value

x < - 12 ← reverse symbol

x ∈ R, x < - 12 ← solution set

Answer 2

Solution set of the inequality
`-(1)/(2)x>6` is:

x

Explanation:

We are given a inequality:

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

We have to find its solution set

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

Multiplying both sides by -2

(As we multiply both sides of a inequality by negative integer its sign gets reversed)

i.e. x<-12

Hence, solution set of the inequality
`-(1)/(2)x>6` is:

x