Given: - 1/2x > 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 the following inequality:

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:

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

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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1