MATHEMATICS HIGH SCHOOL

Compare solving equations with solving inequalities. How are the processes similar or different?

Answers

Answer 1
Answer:

Answer:

Similarities

1. Adding or subtracting a number from both sides.

2. Multiplying or dividing both sides by a positive number.

3. Applying an increasing function to both sides.

4. Simplifying one or both sides.

Differences

1. Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

2. When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

3. Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.

Related Questions

Brigid is building a table with her mom as a weekend project. She needs 5.875 feet of wood. Whatis this amount as a fraction? (1 point)
What would be the probability that randomly choosing 3 states from the top 6 murder states would actually be the top 3 states for murders in the United States in the exact correct descending order?Each state and # of murders1.California 17902.Texas 10893.New York 7744.Pennsylvania 6365.Michigan 6136.Georgia 522
Solve the equation for y: w- 302 4y-12
at the flower shop, there are 5 times as many roses as sunflowers. if there are 252 roses and sunflowers altogether, how many roses are there? how many sunflowers are there?
A net worth statement, financial goals, and a budget are all part of a _____. saving and investing plan savings account long-term financial goal financial plan

N ∈ lNWe set A= n(n²+11)
Show that A is divisible by 3
( n is natural number )
please try to help me in this i need it tomorrow plz...

Answers

@Konrad509's answer was fantastic. 

What you first need to know is this. 3 consecutive natural numbers multiplied by each other, for instance: (1*2*3) or (2*3*4) or (3*4*5) or (4*5*(2*3)) can be described using the abstract expression:

(n-1)n(n+1)

-------------

Now:

A=n(n²+11),

and:

n(n²+11)

=n(n²-1+12)

=n³-n+12n

=n(n²-1)+12n

=n(n+1)(n-1)+12n

=(n-1)n(n+1)+(4*3)n

-------------------------

So:

A=(n-1)n(n+1)+(4*3)n

Therefore, A is divisible by 3.
n(n^2+11)=\nn(n^2-1+12)=\nn(n^2-1)+12n=\n(n-1)n(n+1)+12n

(n-1)n(n+1) is the product of 3 consecutive natural numbers, so it has be to divisible by 3.

12n is also divisible by 3 because 12 is divisible by 3.

If both elements of the sum are divisible by 3 so the sum itself is divisible by 3 as well.

a potato chip company packages chest by stacking them into a tall cylindrical K which units are most appropriate for measuring the thickness of an individual chip​

Answers

Answer:

MIllimeters

Step-by-step explanation:

Its simple who measures this in inches or centimeters, or meters or anything else

Complete the equation of the graphed linear function in point-slope form.y – (–2) = ? (x – ?)

Answers

The point-slope form:
y-y_1=m(x-x_1)
m - slope
x₁, y₁ - the coordinates of a point

It passes through the points (1,-2) and (2,2).
(1,-2) \nx_1=1 \n y_1=-2 \n \n(2,2) \nx_2=2 \n y_2=2 \n \nm=(y_2-y_1)/(x_2-x_1)=(2-(-2))/(2-1)=(2+2)/(1)=4

\boxed{y-(-2)=4(x-1)}

The product of 8 and z plus the product of 6.5 and y

Answers

Product mean multiplication. The product of 8 and z plus the product of 6.5 and y 8 * z + 6.5 * y 8z + 6.5y !! hope that helps let me know!

Which of the choices below best describes the domain and range of this problem. Domain would be tickets sold and range would be amount of money he collected. Elijah has already sold $40 worth of tickets for a local raffle. He has 5 tickets left to sell at $5 per ticket.

Answers

Answer:

Step-by-step explanation:

Amount of ticket sold = $40

If one ticket is $5, we need to know the amount of ticket he sold that fetched Elijah $40

$5 = 1ticket

$40 = x tickets

Cross multiply

5x = 40

x = 40/5

x = 8tickets

If he has 5tickets left to sell at $5 per ticket, the total tickets the sold will be 8+3 = 13 tickets

The domain of the problem will be [1, 13]

For the range:

The amount of the remaining 5tickets will be (5×$5) = $25

Initial amount made = $40

Total amount he collected = $25+$40

= $65

The range if the problem will be [$5, $65]

Simplify
21-(x+7)
how do i solve it.

Answers

21 - (x + 7) We would multiple the numbers inside the parenthesis with -

21 - x - 7 Then we simplify

14 - x

Or if it’s equal to 0 and you need to isolate the x then it’s

x = -14

Award me brainliest please if this helped
Other Questions
At the beginning of the year 2002, Sarah put $250 in a savings account. The bank agrees to pay Sarah 3% interest on her total savings at the end of each year including the interest added to the account. Assume the interest rates stay constant and Sarah does not deposit any more money into the bank. How much will she have in her savings, to the nearest cent, after 7 interest payments?
What is 30:12 simplified
9n - 2 - 6n - 3I need help with question.
Complete the missing value in the solution to the equation.