Respuesta :
Answer:
{x|x ∈ R, x < - 12 }
Step-by-step explanation:
given - [tex]\frac{1}{2}[/tex] 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:
Solution set of the inequality [tex]-\dfrac{1}{2}x>6[/tex] is:
{x | x∈R, x < -12}
Step-by-step explanation:
We are given a inequality:
[tex]-\dfrac{1}{2}x>6[/tex]
We have to find its solution set
[tex]-\dfrac{1}{2}x>6[/tex]
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 [tex]-\dfrac{1}{2}x>6[/tex] is:
{x | x∈R, x < -12}
