All categories

3 years ago

Solve the following compound inequality 4

Mathematics

1 answer:

CaHeK987 [17]3 years ago

7 0

Answer:

$0 < x < 8$

Step-by-step explanation:

Given

$4 < x + 4 < 12$

Required

Solve

$4 < x + 4 < 12$

Split:

$4 < x + 4$ and $x + 4< 12$

Collect Like Terms

$4 - 4 < x$ and $x < 12- 4$

$0$ and $x < 8$

Combine

$0 < x < 8$

You might be interested in

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is

Kazeer [188]

Answer:

20 feet high

Step-by-step explanation:

Do the work

4 0

3 years ago

Read 2 more answers

Simplify the expression.

deff fn [24]

(6^-2)^2

When you have a number raised to a power inside parenthesis and then it is raised to another power, to simplify, multiply the two powers together:

-2 x 2 = -4

Simplified is 6^-4

5 0

3 years ago

Read 2 more answers

Y = 2000-(1.05)

Aleonysh [2.5K]

Answer:

What is your initial value? 2000

Does this function represent exponential growth or exponential decay? Exponential growth

What is the rate of growth or rate of decay? 5%

7 0

2 years ago

A farmer plants apple, pear and cherry trees

gogolik [260]

? is there any more context to the question?

8 0

3 years ago

Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).

LiRa [457]

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

For RS:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(4-3)^2+(4-2)^2}=2.24 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-3}{4-2}=0.5$

For RT:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-3)^2+(5-2)^2}=4.24 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-3}{5-2}=-1$

For ST:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-4)^2+(5-4)^2}=4.12 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-4}{5-4}=-4$

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

Find out more on linear equation at: brainly.com/question/14323743

5 0

2 years ago