Question

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

Answer 1

Answer:

{x|x ∈ R, x < - 12 }

Step-by-step explanation:

given - $\frac{1}{2}$ 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 | x ∈ R, x < - 12 } ← solution set

Answer 2

Answer:

Solution set of the inequality $-\dfrac{1}{2}x>6$ is:

{x | x∈R, x < -12}

Step-by-step explanation:

We are given a inequality:

$-\dfrac{1}{2}x>6$

We have to find its solution set

$-\dfrac{1}{2}x>6$

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 $-\dfrac{1}{2}x>6$ is:

{x | x∈R, x < -12}