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}

{x|x ∈ R, x < - 12 }

Step-by-step explanation:

given - 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

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.