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8 November, 10:52

2 (x-2) < 3x + 8

What is the solution?

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Answers (1)
  1. 8 November, 14:03
    0
    Step-by-step explanation:

    Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

    2 * (x-2) - (3*x+8) <0

    Step by step solution:

    Step 1:

    Equation at the end of step 1:

    2 • (x - 2) - (3x + 8) < 0

    Step 2:

    Step 3:

    Pulling out like terms:

    3.1 Pull out like factors:

    -x - 12 = - 1 • (x + 12)

    Equation at the end of step 3:

    -x - 12 < 0

    Step 4:

    4.1 Multiply both sides by (-1)

    Flip the inequality sign since you are multiplying by a negative number

    x+12 > 0

    Solve Basic Inequality:

    4.2 Subtract 12 from both sides

    x > - 12

    Inequality Plot:

    4.3 Inequality plot for

    -x - 12.000 < 0

    One solution was found:

    x > - 12Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

    2 * (x-2) - (3*x+8) <0

    Step by step solution:

    Step 1:

    Equation at the end of step 1:

    2 • (x - 2) - (3x + 8) < 0

    Step 2:

    Step 3:

    Pulling out like terms:

    3.1 Pull out like factors:

    -x - 12 = - 1 • (x + 12)

    Equation at the end of step 3:

    -x - 12 < 0

    Step 4:

    4.1 Multiply both sides by (-1)

    Flip the inequality sign since you are multiplying by a negative number

    x+12 > 0

    Solve Basic Inequality:

    4.2 Subtract 12 from both sides

    x > - 12

    Inequality Plot:

    4.3 Inequality plot for

    -x - 12.000 < 0

    One solution was found:

    x > - 12
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