Question

0,3x -1,8 >-7,5x-2,8​

Answer 1

0,3х-1,8>-7,5x-2,8

0,3x+7,5x>-2,8+1,8

7,8x>-1

x>-1/7,8

x∈(-1/7,8; +∞)

Answer 2

To solve this inequality, we want to isolate the variable x on one side of the inequality sign.

First, we can simplify the inequality by adding 7.5x to both sides:

0.3x - 1.8 + 7.5x > -2.8

Combining like terms, we get:

7.8x - 1.8 > -2.8

Next, we can add 1.8 to both sides:

7.8x > -1.0

Finally, we can divide both sides by 7.8, being careful to flip the inequality sign since we're dividing by a negative number:

x < -1.0/7.8

So the solution to the inequality is:

x < -0.1282 (rounded to four decimal places)