maths inequalities...

posted by .

Find the range of values of k for which the expression x^2 -4x + k will be positive for all real values of x. Hence state the range of values of x satisfying the inequality x^2 -4x + 7 > 0.

For the first part, this is what i did:
(-4)^2 - 4(k) > 0
k<4

but how do i do the second part ("hence...")????

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    x^2+x-k find all positive values for k, if it can be factored Allowed values of k for for the expression to be factorable with integers are a*(a+1) where a is an integer equal to 1 or more. For example: 2, 6, 12, 20... The factors …
  2. Algebra

    I've learned that the difference between domain and range is.....domain is the set of possible X values and range is the set of possible Y values. also, a domain is the values that a function maps "from" and the range is the values …
  3. Maths

    Expand ln(1+x) and ln(1-x) and hence deduce that ln((y+1)/(y-1))=[2/y]+[2/(3(y^3))]+[2/(5(y^5))]+[2/(7(y^7))]. State the range of values of y for which the expansion is valid. Hence calculate ln(101) correct to 4 significant figures …
  4. math

    Suppose that z(x,y) may be defined implicitly by {x}^2 - {y}^2- {z}^2 = 16, enter inequalities for the domain (x and y values) and the range (z values).
  5. Pure Mathematics

    1. Given that the straight line y=c-3x does not intersect the curve xy=3, find the range of values for c. 2. Find the range of values for c for which the line y=cx+6 does not meet the curve 2x^2-xy=3. 3. Find the range of values for …
  6. math

    1. solve the following inequality to find a range of values for x : -18 < x -7 < -6 2. solve the following inequality to find a range of values for x : -96 < -12x < -12
  7. Algabra 2

    Draw a graph that is not function and has these three properties: Domain of x-values satisfying -3<x<5 Range of y-values satisfying -4<y<4 Includes the points (-2,3) and (3,-2)
  8. Algabra 2

    Draw a graph that is not function and has these three properties: Domain of x-values satisfying -3<x<5 Range of y-values satisfying -4<y<4 Includes the points (-2,3) and (3,-2)
  9. Algebra 2

    Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the …
  10. Mathematics Algebra

    Question: If the expression (x^2 + 2x +4)/(x^2 - 2x - 4) has a value between (1/3) and 3 for all real values of x, determine the range of the expression [9.(3)^x + 6.(3)^2x + 4]/[ 9.(3)^2x - 6.(3)^x +4 My thoughts on the question: …

More Similar Questions