Please Help, 40 Points Solve the inequality for x. Show each step of the solution. -12x-0.4>0.2(36.5x+80)-55

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

0

Answers ( No )

    0
    2022-01-06T01:11:21+00:00

    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

    0
    2022-01-06T01:11:43+00:00

    -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

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