All categories

3 years ago

Give an example that shows why you need to reverse the sign when dividing or multiplying an inequality by a negative number.

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Answer:

2 < 3 ⇒ -2 > -3

Step-by-step explanation:

∵ 2 < 3

If we divide each side by -1

∴ -2 < -3 but it's not true

∴ we must reverse the sign of inequality

∴ -2 > -3

similar:

∵ 25 > 20

If we divide each side by -5

∴ -5 > -4 it's not true

∴ we must reverse the sign of inequality

∴ -5 < -4

You might be interested in

In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people

Aleksandr [31]

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d) 1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

First identify the digit to be rounded.
If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a) to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place = 1,360,760,000

b) to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c) to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d) to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

7 0

3 years ago

Read 2 more answers

How would I do this?? Will give brainiest

balandron [24]

Answer:

x = 70°

Step-by-step explanation:

<em><u>I will assume solving the problem where 2 parallel lines are cut by a transversal that has an angle 110 and another angle x. Lets solve for x.</u></em>

When 2 parallel lines are cut by transversals, we have 4 pair of equal angles.

Now, looking at the figure,

The angle beside (adjacent) to the angle 110 is same as the angle x degrees.

These are corresponding angles, which are equal.

So, we have 110 degree angle and x degree angle adjacent to each other in a straight line. This is a straight angle.

A straight line (or, straight angle) creates 180 degrees. Thus, we can write:

110 + x = 180

Now, we solve for x:

$110 + x = 180\\x=180-110\\x=70$

So,

x = 70°

5 0

3 years ago

Find you equation of the line shown

VashaNatasha [74]

Answer:

y=x+6

Step-by-step explanation:

(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.

(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.

I inputted two points from the graph and solved them.

Hence the equation would be y=x+6

5 0

3 years ago

Read 2 more answers

F(x)= 1/x; Find f (0.01)

ohaa [14]

Answer:

100

Step-by-step explanation:

f(x) = 1/x

So,

f(0.01) = 1/0.01

=> f(0.01) = 100

5 0

3 years ago

What is the solution set of 1/3x=-6

Lapatulllka [165]

Answer:

the answer is x = -18

Step-by-step explanation:

1/3x=-6

3 x 1/3x = 3(-6)

x = -18

5 0

3 years ago