Question

Please Help, 40 Points

Solve the inequality for x. Show each step of the solution.
-12x-0.4>0.2(36.5x+80)-55

Answer 1

-12x-0.4 > 0.2•36.5x +0.2•80 -55
-12x -0.4 > 7.3x + 16 -55
-12x -0.4 > 7.3x -39
39-0.4 > 7.3x +12x
38.6 > 19.3x
38.6/19.3 > x
2>x or we can say x < 2

Answer 2

Let's solve your inequality step-by-step.

−12x−0.4>0.2(36.5x+80)−55

Step 1: Simplify both sides of the inequality.

−12x−0.4>7.3x−39

Step 2: Subtract 7.3x from both sides.

−12x−0.4−7.3x>7.3x−39−7.3x

−19.3x−0.4>−39

Step 3: Add 0.4 to both sides.

−19.3x−0.4+0.4>−39+0.4

−19.3x>−38.6

Step 4: Divide both sides by -19.3.

−19.3x

−19.3

>

−38.6

−19.3

x<2

Answer:

x<2