To solve this inequality, we need to first distribute the -1 to both terms inside the parentheses:
12 - (x + 2) > 12x - 112 - x - 2 > 12x - 110 - x > 12x - 11
Next, we need to simplify the equation by combining like terms:
10 - x > 12x - 110 + 11 > 12x - 21 > 11x
Now, we divide both sides by 11 to solve for x:
21/11 > 1.909 > x
Therefore, the solution to the inequality 12 - (x + 2) > 12x - 11 is x < 1.909.
To solve this inequality, we need to first distribute the -1 to both terms inside the parentheses:
12 - (x + 2) > 12x - 1
12 - x - 2 > 12x - 1
10 - x > 12x - 11
Next, we need to simplify the equation by combining like terms:
10 - x > 12x - 1
10 + 11 > 12x -
21 > 11x
Now, we divide both sides by 11 to solve for x:
21/11 >
1.909 > x
Therefore, the solution to the inequality 12 - (x + 2) > 12x - 11 is x < 1.909.