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

Question

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

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    2022-01-06T02:37:39+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

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