Reciprocal

It is true (prove it) that if a > b > 0:

1a<1b


Result




Step-by-step explanation:

1a<1b bab<aab  b<aa>b 



We will be pleased if You send us any improvements to this math problem. Thank you!



avatar




You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Eq with reciprocal
    parabola2_2 Solve given equation with reciprocal member: a-6/a+10=4/8
  • Proof PT
    pytagoras Can you easily prove Pythagoras theorem using Euclidean theorems? If so, do it.
  • Proof I
    ithinkiam When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?
  • Prove
    two_circles_1 Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x2+y2+2x+4y+1=0 k2: x2+y2-8x+6y+9=0
  • Reciprocal equation 3
    reciprocal Solve reciprocal equation: 1/2 + 2/3=1/x
  • Reciprocal equation
    img_reci_1 Determine the root of the equation: 9/x-7/x=1
  • Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  • See harmonics
    HarmonicMean It is true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. Central segment crosses the intersection of the diagonals and is parallel to the bases.
  • Reciprocal
    reciprocal Calculate the reciprocal numbers for the given real numbers.
  • Equilateral cylinder
    sphere_in_cylinder A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere.
  • Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  • Six students
    painter Two pupils painted the class in four hours. How long will it take for six pupils?
  • Engineer Kažimír
    demagog_smer_1 The difference between politicians-demagogues and reasonable person with at least primary education beautifully illustrated by the TV show example. "Engineer" Kažimír says that during their tenure there was a large decline in the price of natural gas, pri
  • Expression
    fractions If it is true that ? is:
  • Diagonal in rectangle
    q In that rectangle ABCD is the center of BC point E and point F is center of CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.
  • Three numbers
    dice How much we increases the sum of three numbers when the first enlarge by 14, second by 15 and third by 16? Choose any three two-digit numbers and prove results.
  • Sum of inner angles
    angle-sum-of-polygon Prove that the sum of all inner angles of any convex n-angle equals (n-2) . 180 degrees.