200 Answered Questions for the topic Inequality

8d

#### Proof problem involving a inequality

If x,y positive real numbers, then its true that x^3+y^3 ≥ xy(x+y)

#### Find the values of x such that f(x)<h(x) given f(x)=1-4^(2-x)[(1/2)^(x+3)] and h(x)=8^x

Find the values of "x" given:
f(x)<h(x)
f(x)=1-4^(2-x)[(1/2)^(x+3)]
h(x)=8^x

#### Given the function f(x)=1-4^(2-x)[(1/2)^(x+3)], find the value/s of x such that f(x)<h(x) if h(x)=8^x

Hello! I would greatly appreciate any assistance in solving this problem involving exponential functions. Thank you in advance!

Inequality

11/12/20

#### 4 more than 6 times a number is greater than 20

Inequality Algebra

10/22/20

#### Solve -6≤ x- 2 Graph the solution.

I need help with this question for and important test thanks for the help:)

Inequality

10/14/20

#### A number r is no less than -1.5 and fewer than 9.5

Inequality

10/05/20

#### 8 is greater than w, and 4 is less than or equal to w

Inequality

10/15/19

#### The sum of 8 and b is at least 16

Inequality Algebra 2

09/13/19

#### For positive real no. a,b,c,d , then { (a+b+c)(a+c+d)}^1/3 >= (ab)^1/3 +(cd)^1/3

Inequality

09/13/19

#### A number w increased by 6 is less than 28

Inequality

09/11/19

#### Three increased by twice a number is at least -7. Write the inequality and the solve it

Inequality Algebra 1

08/20/19

#### What is an inequality for The Washington Monument is 555 feet tall.It is 75 feet shorter than the Gateway to the West Arch

Inequality Algebra 1

07/12/19

#### 5 dollars less than two times Chris pay is at most $124.

This needs to be written as an inequality.

Inequality

06/20/19

#### A number g is at least 4 and no more than 12

Inequality

06/10/19

#### Twice x is greater than -19 how do I translate the sentence into an inequality

05/02/19

#### Solve the following Inequality

(x+4)^2(x-6)>0What is the solution? I forgot the steps to solve this and my notes are a bit sloppy. I would really appreciate if someone can walk me through this step by step so I won't have...
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Inequality Algebra 1

03/26/19

#### Twice the difference of a number and 10 is at most -22 . How do i write this?

How do i translate this into an inequality

03/23/19

#### How to prove that $ \\sin \\angle{GAB}+\\sin \\angle{GBC}+\\sin \\angle{GCA} \\le \\frac{3}{2} $ for a triangle $ABC$ with centroid $G$?

Let $ G $ be the centroid of $ \ riangle ABC $ , such that $ \\measuredangle{GAB}=x,\\measuredangle{GBC}=y,\\measuredangle{GCA}=z $.
How do I prove that :
$$ \\sin x +\\sin y +\\sin z\\le...
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#### Enter the sentence as an equation or inequality. Use x to represent any unknown number. Three increased by one equals the quotient of eight and two.

I really appreciate if you help.

03/19/19

#### Variation on Pythagoras: If $a^2 + b^2 = c^2$, then $a + b \\leq c\\sqrt{2}$?

This is a very interesting word problem that I came across in an old textbook of mine. So I know its got something to do with derivative of the Pythagorean Theorem using calculus, trigonometry,...
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03/19/19

#### Proving that the sum of any two sides of the triangle is greater than the third side?

I know it's easy to prove with the help of linear inequalities, but this time I want to prove it with the help of trigonometry. Is it possible? If yes, then how?

03/14/19

#### GRE Practice Question Incorrect?

This is a sample GRE question. The answer claims that we cannot make an inference due to insufficient information.
> *Compare the following quantities:*
>
> Of the 25 people in Fran’s...
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