Pre Calculus

Solve the inequality sinx>square root x.

  1. 👍 0
  2. 👎 0
  3. 👁 55
asked by Hanu
  1. sin x > √x
    we can say immediately that x≥0 , since we can't take the square root of a negative.
    so I would graph y = sinx
    and y = √x and look at the region where the sinx is above the √x

    http://www.wolframalpha.com/input/?i=y+%3D+sin%28x%29+%2C+y+%3D+√x+for+x≥0

    notice that they both pass though the origin, but after that they never intersect or touch again, and the sine is always above the square root function.

    so x ≥ 0

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. mis-stated the result of the graph

    notice that the sin(x) is always below y = √x
    so there is no solution to
    sin(x) > √x

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. trig

    solve equation for exact solution if possible leave answer in degree sinx/2=square root of 2- sinx/2

    asked by mike on May 30, 2012
  2. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are

    asked by Miley on September 14, 2013
  3. algebra

    1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3.) not sure on this one 4.) wrong---> - square root of six is not a solution Hope this Helps! 1)find p(-3)if p(x)=4x^3-5x^2+7x-10 =-184 2)If r(x)=4x^2-3x+7,find

    asked by manny on August 16, 2007
  4. Algebra

    Use the quadratic formula to solve the equation. Give exact answers: 2x^2 -1 = 6x. The choices are: a) -3 + square root(7)/2, -3 - square root(7)/2 b) 3 + square root(11)/2, 3 - square root(11)/2 c) 3 + square root(7)/2, 3 -

    asked by Hope on June 3, 2009
  5. Algebra

    Solve 2+ the square root of 4-x=x what is your question? ok lets start by arranging everything so its easier to solve.. u want to put the square root(4-x)on one side of the equation and the 2 on the other side... square root(4-x)

    asked by Joy on August 15, 2007
  6. College Algebra

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth

    asked by Krissy on January 19, 2013
  7. College Algebra help please

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth

    asked by Krissy on January 20, 2013
  8. College Algebra

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth

    asked by Krissy on January 21, 2013
  9. Math

    Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third

    asked by Anonymous on March 25, 2008
  10. MATH

    Solve the differential equations? (calculus) a) square root cotany/ (1+x^2)sin^5y dy/dx = e^x^3 +3x/ square root cotany b) y^2/cosx dy = e^sinx/ e^y^3-1 dx

    asked by RAY on May 8, 2013

More Similar Questions