Math write the number shown by the blocks

Amanda [17]

The set A satisfying the given inequality is A = (- $\infty$ , -10].

<h3>What are some properties of an inequality relation? </h3>

Following are some facts which are true for an inequality relation:

Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.

$\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)$

Since y ∈ B, -2 ≤ y ≤ 7. So,

$\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\; y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.$

The set {-x | inequality (1) holds ∀ y ∈ B} is [10, $\infty$ ) i.e.

10 ≤ -x ≤ $\infty$ .

Multiplying -1 throughout gives

-10 ≥ x ≥ - $\infty$ .

x, thus, lies in the range A = (- $\mathbf{\infty}$ , -10}.

Learn more about the inequality here.

brainly.com/question/17801003

Disclaimer: The question was incomplete. Please find the full content below.

<h3>Question </h3>

Find the set A such that for x ∈ A

$\frac{5x - 2}{8} - \frac{3x - 5}{10} \ge x + y$

∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.

#SPJ4

4 0

2 years ago

Mr zuro finds the mean height of all 14 students in his class to be 69.0 inches. Just as Mr Zuro finishes explaining how to get

ycow [4]

Answer:

69.1

Step-by-step explanation:

<em>Mean height of 14 students = 69.0 inches</em>

<em>Mean = sum of data/number of data</em>

<em>sum of data = 966</em>

<em>Height of additional student = 70.5</em>

Mean = sum of data/ number of data

Mean = 966+70.5/14+1

Mean = 1036.5/15

Mean = 69.1

Therefore, the mean height of the 15 students in the class is 69.1

4 0

4 years ago

A cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm. What volume of juice does the pitcher contain whe

Andreas93 [3]

Answer:

706.50 cubic cm.

Step-by-step explanation:

Given that a cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm.

We are to find out the t volume of juice does the pitcher contain when it is 25% full. 3.14 is to be used for pi.

Volume of the cylinder = $\pi r^2 h\\ \\=3.14 *6^2*25\\=2826$

When it is 25% full the volume would be 1/4 of the full volume

= $\frac{2826}{4} =706.50$ cubic cm

So volume when 25% full is

706.50 cubic cm.

4 0

4 years ago

Pls help answer before 10:00

antiseptic1488 [7]

Answer:

1. 14

2. 2.75

3. 7.25

4. 6.5

Step-by-step explanation:

1. You just make a dot plot and count the amount of dots there are.

2. You go to your dot plot and see the smallest amount and you get your answer.

3. Same thing as the smallest amount, except you just have to find the greatest amount.

4. You just find which number appears the most on the dot plot, and bam you got your answer.

6 0

3 years ago

Por favor ayuda con este ejercicio

zysi [14]

Answer:

-

+

Step-by-step explanation:

5 0

2 years ago