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23 December, 08:09

Which numbers are solutions to the inequality

- 3x-3<6? Select all that apply.

A. - 5

B. - 4

C. 0

D. 2

E. 4

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Answers (1)
  1. 23 December, 08:37
    0
    C. 0

    D. 2

    E. 4

    Step-by-step explanation:

    To know which numbers are solutions to the inequality, we will follow the steps below:

    -3x - 3 < 6

    add 3 to both-side of the inequality

    -3x - 3 + 3 <6+3

    -3x < 9

    Divide both-side of the inequality by - 3

    -3x/-3 >9/-3

    whenever we are dividing both-side of inequality by a negative number, the inequality sign will change

    x > - 3

    all values of x that are greater than - 3 will satisfy the inequality

    They are 0, 2 and 4

    check the solution:

    for x=0

    -3x - 3 < 6

    -3 (0) - 3 < 6

    -3 < 6

    for x = 2

    -3x - 3 < 6

    -3 (2) - 3 < 6

    -6 - 3 < 6

    -9< 6

    for x = 4

    -3x - 3 < 6

    -3 (4) - 3 < 6

    -12-3 < 6

    -15 < 6
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