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? How is this different from determining if a value is a solution to an equation?

If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality?

Write an inequality and provide a value that may or may not be a solution to the inequality. I don't understand it Thank you in advance.

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asked by Norma
  1. Inequalities are solved the same way as equations, except that the carat (<) is reversed when multiplying both sides by a negative number.

    -4x > 8

    x < -2

    I hope this helps.

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    posted by PsyDAG
  2. Y > X -2. Write and graph Eq of boundry
    line: Y = X -2, (0, -2), (2, 0), (4 ,2)
    The Eq of the boundary line always uses an equal sign. However,since there is no = sign in your original in-
    equality,the graph should be a dotted line. The points on the dotted line
    should not satisfy the inequality:
    Y > X - 2
    -2 > 0 -2
    -2 > -2, This is not a true statement.
    Therefore, the point does not satisfy the inequality and not a solution.
    Let's test a point above the line:(0,0).
    Y > X - 2
    0 > 0 - 2
    0 > -2, This is a true statement and
    a solution. If 1 point above the line
    is a solution, then all points above
    the line are solutions. None of the
    points below the line are solutions;
    and , therefore, do not satisfy the
    inequality. TEST A FEW!


    If your inequality contained an =
    sign(X - Y >= -2), your boundary
    line would be a solid line, and all
    points on it would satisfy the in-
    equality.

    An equation states that the
    quanity on the left is equal to the
    quantity on the right. So if I replace
    the equal sign with an inequality sign, it becomes an untrue statement;
    because it is still an equation.

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    posted by Henry

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