Math

posted by .

For this inequality

3x^(2) - 2x -1 > or equal 0

I get x=1 , x=-1/3

would the solution set become
{x|1 < x < -1/3}

I wasn't sure about the sign, if it should be greater than or equal to .

  • Math -

    3x^2 - 2x - 1 >= 0,

    Factor using the A*C Method:
    A * C = 3 * -1 = -3 = 1 * -3,
    3x^2 + (x -3x) - 1 >= 0,
    (3x^2 - 3x) + (x - 1) >= 0,
    3x(x - 1) + (x - 1) >= 0,
    (x - 1) (3x + 1) >= 0,

    x - 1 >= 0,
    x >= 1.

    3x + 1 >= 0,
    3x >= -1,
    x >= -1/3.

    Solution Set: x >= 1, and x >= -1/3.


    This is not a compound inequality; therefore, your last step does
    not apply.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    How do you know if a value is a solution for an inequality?
  2. math

    How is this different from determining if a value is a solution to an equation?
  3. Math (Algebra)

    Solve using the multiplication principle -7x <_ 35 the sign is an inequality equal greater or lesser than sign would I substitute the sign for an equal sign and then divide 35 by -7 x=-5 -7 x -5= 35 how would I write the solution …
  4. Algebra

    How do you know if a value is a solution for an inequality?
  5. math

    How do you know if a value is a solution for an inequality?
  6. Math (Algebra)

    How do you know if a value is a solution for an inequality?
  7. math 116

    How do you know if a value is a solution for an inequality?
  8. math 116

    How do you know if a value is a solution for an inequality?
  9. math

    Can anyone help me with dq i week 2Post your response to the following: How do you know if a value is a solution for an inequality?
  10. math

    ms.pritchard wrote the following inequality on the board 5.6 with the sign greater on equal to then negative fourteen what should be the solution set for the inequality

More Similar Questions