SOLUTION: Which of the following inequalities is true for all real numbers? x^3 > or equal to x^2 3x^2 > or equal to 2x^3 (2x)^2 > or equal to 3x^2 3(x-2)^2 > or equal to 3x^2

SOLUTION: Which of the following inequalities is true for all real numbers? x^3 > or equal to x^2 3x^2 > or equal to 2x^3 (2x)^2 > or equal to 3x^2 3(x-2)^2 > or equal to 3x^2 - 2

Question 737197: Which of the following inequalities is true for all real numbers?
x^3 > or equal to x^2
3x^2 > or equal to 2x^3
(2x)^2 > or equal to 3x^2
3(x-2)^2 > or equal to 3x^2 - 2
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Simplify/solve each one using algebra.

Divide both sides by

That's only true for real numbers 1 or greater.

Divide both sides by and divide both sides by 2.

Only true for real numbers less than or equal to 3/2.

Divide both sides by

That's always true.

Not true for all real numbers.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)

RELATED QUESTIONS
Solve and graph the following inequalities. If there is no solution, write DNE. If all... (answered by CubeyThePenguin)

Can I please have help with this, thank you! Graph the following systems of... (answered by Alan3354,ikleyn)

Hello...I have several questions, i have worked all of them but do not understand the... (answered by albert)

find the coordinated of the vertices of the figure formed by each system of inequalities (answered by ewatrrr)

please help! 2/3(x+9) is less than or equal to 1/3(2x+12) A. X is less than or... (answered by Earlsdon)

How do i solve the following inequalities and then graph it. 1. -2|x+1|>_-8 (the... (answered by stanbon)

Solve the following system of linear inequalities by graphing. x + 2y is less than or... (answered by jim_thompson5910)

1.solve the system by addition. -2x+3y=-15 x-2y=11 I got -x+y=-4 that doesn't seem... (answered by jim_thompson5910)

Solve the system of inequalities by graphing. y>x 2x+y (answered by checkley71)