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erastovalidia [21]
3 years ago
10

I don’t understand why is it “not possible”.

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Let's solve the inequalities: we have

-\dfrac{2}{3}x

and

\dfrac{3}{4}x

Since the two inequality must be true at the same time (there is an "and" between the two), we should find a number that is, at the same time, greater than -6, and smaller than -8. But since -6 is greater than -8, a number greater than -6 is automatically greater than -8 as well. So, it is impossible for a number to be greater than -6 and smaller than -8.

If negative numbers confuse you, this example shows the same (impossible) logic: we can't ask for a number to be greater than 10, but smaller than 3.

As for the second exercise:

3x-9\leq 9 \iff 3x \leq 18 \iff x \leq 6

4-x\leq 3 \iff -x \leq -1 \iff x \geq 1

So, a number satisfies this system if it is smaller than 6 or greater than 1. This means that at least one of the conditions must be satisfied, and this is always the case:

  1. If we choose a number smaller than 1, the second condition is met
  2. If we choose a number between 1 and 6, both are met
  3. If we choose a number greater than 6, the first condition is met

So, whatever number we choose, at least one of the conditions will be true, and the logical "OR" will be satisfied.

You might be interested in
What is the area of the shaded sector? (Round to the nearest tenth)<br> 10<br> 38
masya89 [10]

Answer:

33.1

Step-by-step explanation:

First you need to find the area of the circle. The radius is 10 which means that the area is 314. Since a circle has 360 degrees, and the shaded area is 38 degrees, you need to divide 314 by 360 which is 0.87. Then multiply by 38 because the shaded sector is 38. 0.87 x 38 = 33.1.

That is the answer.

5 0
2 years ago
Someone plz help me. There are 2 answer choices
givi [52]

ik the first answer choice is false

3 0
2 years ago
Read 2 more answers
Please help I with give Brainiest if correct
padilas [110]

Answer:

  Perimeter of the rectangle  = 6 x +20

 Perimeter of the rectangle  = 0<em> x² + 6 x + 20</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the length of the rectangle = 2x +3

Given that the width of the rectangle = x +7

Perimeter of the rectangle   = 2(length + width)

<u>Step(ii):-</u>            

  Perimeter of the rectangle   = 2(length + width)

                                                  = 2(2 x +3 + x+7)

                                                 =  4x +6+2x+14

                                                 = 6 x +20        

<u><em>Final answer:-</em></u>

 Perimeter of the rectangle  = 6 x +20

 Perimeter of the rectangle  = o x² + 6 x + 20

7 0
2 years ago
Please help me to solve the problems
OLga [1]
4 tens and 10 ones is 410
412 movies
3 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!
viva [34]

Answer:

A: 5:1

B. 2:10

Step-by-step explanation:

Please mark brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

3 0
3 years ago
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