To solve the inequality 5/6x - 1/4 > x + 0.75, we first need to get rid of the fractions by finding a common denominator. In this case, the common denominator is 12.
Multiplying both sides of the inequality by 12, we get:
12(5/6x - 1/4) > 12(x + 0.75) 10x - 3 > 12x + 9
Next, we will move all terms involving x to one side of the inequality:
-3 - 9 > 12x - 10x -12 > 2x
Dividing by 2 on both sides, we get:
-6 > x
Therefore, the solution to the inequality 5/6x - 1/4 > x + 0.75 is x < -6.
To solve the inequality 5/6x - 1/4 > x + 0.75, we first need to get rid of the fractions by finding a common denominator. In this case, the common denominator is 12.
Multiplying both sides of the inequality by 12, we get:
12(5/6x - 1/4) > 12(x + 0.75)
10x - 3 > 12x + 9
Next, we will move all terms involving x to one side of the inequality:
-3 - 9 > 12x - 10x
-12 > 2x
Dividing by 2 on both sides, we get:
-6 > x
Therefore, the solution to the inequality 5/6x - 1/4 > x + 0.75 is x < -6.