All categories

3 years ago

2(4+2x) > 5x+5 Solve the inequality

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer:

x < 3

Step-by-step explanation:

Apply distributive property on the left of the inequality to get rid of the parenthesis:

8+4x > 5x+5

subtract 4x from both sides to group all terms with x on the right:

8 > 5x-4x+5

8 > x +5

Now subtract 5 from both sides to collect all numerical terms on the left:

8 - 5 > x

3 > x

Therefore the solution to the inequality are of those real numbers strictly smaller than 3.

The inequality can be written as x < 3 or also as we had it initially: 3 > x

Notice that the opening of the angle symbol is always facing the number 3 , meaning that 3 is the larger of the two numerical objects that are compared.

You might be interested in

A cylindrical can, open at the top, is to hold 840 cm3 of liquid. Find the height and radius that minimize the amount of materia

ycow [4]

Answer:

the radius of the base is equal to $x=2\sqrt[3]{\frac{105}{\pi } }$

And the height is equal to:

$y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }$

Step-by-step explanation:

We write the volume function

$f(x,y)=840=\pi x^{2} y$ where x is the radius of the base and y is the height of the cylinder

$y=\frac{840}{\pi x^{2} }$

The surface of a cylinder is given by

$S(x)=\pi x^{2} +2\pi xy=\pi x^{2} +\frac{1680}{x}$ on the interval from 0 to infinity

We now determine the critical values by differentiating and making the equation equal to 0

$f'(x)=2\pi*x- \frac{1680}{x^{2}} =\frac{2\pi x^{3}-1680}{x^{2} } =0$

This equation have 2 complex solutions and one real solution

$x=2\sqrt[3]{\frac{105}{\pi } }$

For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to $x=2\sqrt[3]{\frac{105}{\pi } }$

And the height is equal to:

$y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }$

$y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }$

7 0

3 years ago

How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply)

alexandr402 [8]

Answer:It’s just distributed.

Step-by-step explanation:

6 0

3 years ago

Hurry I have 20 minutes left

VLD [36.1K]

Okay but I don’t see anything sorry

4 0

3 years ago

2. Find the slope of (3,5), (5,6).

Blababa [14]

Answer:

the answer is 1/2

Step-by-step explanation:

3 0

3 years ago

True or False? A rectangle is a quadrilateral with four right angles.

s344n2d4d5 [400]

True is the correct answer.

4 0

4 years ago

Read 2 more answers