Algebra

Write a quadratic inequality whose solution is x < 3 or x > 7

I know the formula and everything, but I'm not sure where to move on from the inequality formula (x-a)(x-b)>0 Can someone please explain, am I supposed to use the standard form first?

  1. 👍
  2. 👎
  3. 👁
  1. If you recall how a parabola looks, you know that if the leading coefficient is positive, then y is negative between the roots. So, you want
    (x-3)(x-7) > 0
    That is really all you need. You can expand that to
    x^2 - 10x + 21 > 0
    but that's just busy work.

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Unit 4: Quadratic Functions and Equations Lesson 6: The Quadratic Formula and the Discriminant 1.) a=5, b=9, c=-4 2.) C 3.) No solution 4.) x=-2, x=1.25 5.) x=-9, x=3 6.) quadratic formula 7.) 2 8.) 11cm by 16cm

  2. Math

    1. Graph the solution of the inequality. x ≤ 3 2. The number of words x Tina can type per minute is at least 50. Write and graph an inequality to describe this situation. (1 point) x ≥ 50; x ≤ 50; x ≥ 50; x > 50; 3. Gavin

  3. algebra

    Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not? Write an inequality for your classmates to solve. In your inequality, use both

  4. SAT math

    1. x>15-2x / -3 Solve the linear inequality. Write the solution in set builder notation. So, -3x>15-2x, x

  1. algebra

    Solve the inequality, -3x - 2 < 5. Write the solution as an inequality with no spaces. You may leave the fraction in improper form.

  2. linear systems

    The statement that is false is A. A system of quadratic-quadratic equations can have exactly one solution. B. A system of quadratic-quadratic equations has no solutions if the graphs do not intersect. C. It is impossible for a

  3. Algebra 1

    Write the solution to the inequality in set-builder notation. 5r + 8 < 63 {r | r < 11}** {r | r < 15} {r | r < 71} {r | r < 8}

  4. Algebra

    Solve the compound inequality. >−2x3−11 or ≥+3x36 Write the solution in interval notation. If there is no solution, enter ∅ .

  1. Math

    1. Which number is a solution of the inequality? 10.68 A)-5 B)-6 C)6*** D)7 3. Which number is a solution of the inequality? 12 < y ( 8 - y ) A. 0 B. 1 C. 2 D. 3*** 4. If N is the set of natural numbers that are factors of 24,

  2. algebra 1 help

    3) the ideal width of a safety belt strap for a certain automobile is 5 cm. an actual width can vary by at most 0.35 cm. write an absolute value inequality for the range of acceptable widths. a. |w+5|≤ 0.35 b. |w-0.35| ≤ 5 c.

  3. Algebra

    Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx +c = 0 The solution is 6 only solution.

  4. Algebra 2

    Write the solution to the given inequality in interval notation. [-3,-1) (-3,-1] (-∞,-3) U [-1,∞) (-∞,-3] U (-1,∞)

You can view more similar questions or ask a new question.