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Addition Property Of Inequality

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

* 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.

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, proj_{B}A and and the vector component of A orthogonal to B → A - proj_{B}A

Also calculates the horizontal component and vertical component of a 2-D vector.

* 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, proj

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.

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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

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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