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Demonstrates the Addition Property Of Inequality

Division Property Of Inequality
Demonstrates the Division Property Of Inequality

Equation and Inequalities
Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences

Interval Notation and Set Builder Notation
This calculator translates the following inequality statements to interval notation and set builder notation:
* x < 5
* y <= 5
* z > 5
* a >= 5
* b < 5 or b > 20
* Compound Inequality such as 0 <= c < 4
* |x|<3
* Reverse Interval Notation to Inequality Statement such as (-7,5]
* {x|x<1}
* Word representations of interval notations such as 2 is less than or equal to x is less than or equal to 8

Multiplication Property Of Inequality
Demonstrates the Multiplication Property Of Inequality

Subtraction Property Of Inequality
Demonstrates the Subtraction Property Of Inequality

Triangle Inequality
This calculator displays 2 scenarios
1) Enter 3 sides of a triangle, and it will determine if the side lengths satisfy the properties of the triangle inequality and form a triangle
2) Enter 2 sides of a triangle, and this will determine an acceptable range for the length of the 3rd side of a triangle so that the 3rd side respects the Triangle Inequality.

Vectors
Given 2 vectors A and B, this calculates:
* Length (magnitude) of A = ||A||
* Length (magnitude) of B = ||B||
* Sum of A and B = A + B (addition)
* Difference of A and B = A - B (subtraction)
* Dot Product of vectors A and B = A x B
A ÷ B (division)
* Distance between A and B = AB
* Angle between A and B = θ
* Unit Vector U of A.
* Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel (includes parallel planes).
* Cauchy-Schwarz Inequality
* The orthogonal projection of A on to B, projBA and and the vector component of A orthogonal to B → A - projBA
Also calculates the horizontal component and vertical component of a 2-D vector.

What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the
The product of 8 and a number k is greater than 4 and no more than 16
Three more than 2x is greater than or equal to 1 and less than or equal to 11
Three more than 2x is greater than or equal to 1 and less than or equal to 11
Emily is three years older than twice her sister Mary’s age. The sum of their ages is less than 30.
Carmen is serving her child french fries and chicken wings for lunch today. Let f be the number of f
The sum of 5x and 2x is at least 70
Six less than twice a number is at least -1 and at most 1
The cost of renting a rototiller is \$19.50 for the first hour and \$7.95 for each additional hour. Ho
Let p be what Peter earns hourly. Peter earns less than 9 dollars an hour.
Pet supplies makes a profit of \$5.50 per bag, if the store wants to make a profit of no less than \$5
Brighthouse charges \$120 a month for their basic plan, plus \$2.99 for each on demand movie you buy.
12 plus the product of 4 and a number is greater than 72
Video store movie rental plans. Plan A 25 membership fee plus 1.25 for movie. Plan B 40 for unlimite
13 more than x is greater than 14
Goal is to take at least 10,000 steps per day. According to your pedometer you have walked 5,274 ste
Dylans mother tells Dylan he must spend less time playing electronic games. On the weekends he spend
The science club charges 4.50 per car at their car wash. Write and solve and inequality to find how
Nine less than the product of 2 and y is not less than 15
As a salesperson, you are paid \$50 per week plus \$2 per sale. This week you want your pay to be at l
Nine less than a number is no more than 8 and no less than 3
The sum of x and y is at most 10
-3x<= -9 or 5+x<6
the sum of a number times 3 and 30 is less than 17
Isabel will run less than 36 minutes today. So far, she has run 22 minutes. What are the possible nu
The cost of a field trip is \$220 plus \$7 per student. If the school can spend at most \$500, how many
Juan has d dimes and q quarters in his pocket. The total value of the coins is less than \$14.75. Whi
A taxi charges a flat rate of \$1.50 with an additional charge of \$0.80 per mile. Samantha wants to s
Notebooks cost \$1.39 each. What are the possible numbers of notebooks that can be purchased with \$10
A taxi charges a flat rate of \$1.50 with an additional charge of \$0.80 per mile. Samantha wants to s
M decreased by the sum of 13 and the number P is less than 12
Juan has d dimes and q quarters in his pocket. The total value of the coins is less than \$14.75. Whi
The product of x and 7 is not greater than 21
Jinas final exam has true/false questions, worth 3 points each, and multiple choice questions, worth
Translate the sentence into an inequality. Twice y is less than 21.
The sum of a number b and 3 is greater than 4 and no more than 16
Five less than a number is at least -7 and at most 7.
Is it correct to word "10% * 50 + 50" as "10% upper 50"?
Matilda needs at least \$112 to buy an new dress. She has already saved \$40. She earns \$9 an hour bab
Translate to an inequality. The cost is smaller than \$94,000
Rita has spent \$16 so far on gifts. The additional amount she will spend will be less than \$14. What
Mr. Smith wants to spend less than \$125 at a zoo. A ticket cost \$7 he is taking 2 kids with him. Use
Four more then double a number is greater than 2
Your brother has \$2000 saved for a vacation. His airplane ticket is \$637. Write and solve an inequal
The price of a baseball glove is no more than \$38.95
The cost to rent a construction crane is 450 per day plus 150 per hour. What is the maximum number o
Jose has scored 556 points on his math tests so far this semester. To get an A for the semester, he
Lucas is offered either 15% or \$21 off his total shopping bill. How much would have to be spent to m
Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli departm
Chang is serving his child french fries and chicken wings for lunch today. Let f be the number of f