Inequalities Review

Inequality

A mathematical sentence that shows the relationship between quantities that are not equivalent. (<, >, ≤, ≥ or ≠)

Variable

A letter or symbol used to represent a quantity that can change.

Constant

A value that does not change.

Coefficient

A number multiplied by a variable in an algebraic expression.

Operations

A symbol that indicates what mathematical operation to perform on the operands: plus (+), minus (-), multiply (*), divide (/)

Isolate

To get a variable alone.

A < B

A is less than B

A > B

A is greater than B

A ≤ B

A is less than or greater to B

A ≥ B

A is greater than or equal to B

A ≠ B

A is not equal to B

Sum

The result of addition.

Difference

The result of subtraction.

Product

The result of multiplication.

Quotient

The result of division.

Equation

A mathematical sentence that contains an equals sign.

Expression

A mathematical phrase that contains operations, numbers, and/or variables.

NO EQUAL SIGN.

7 + 3 < 12-5 True or False?

False

-35 + 7 < 41 True or False?

True

The suitcase must weigh 25 pounds or less.

s ≤ 25

You must be 13 years old or older.

a ≥ 13

Younger than 10.

a < 10

You must be taller than 52" to be able to ride the ride.

h > 52

no more than 7

x ≤ 7

at least 8

x ≥ 8

fewer than 7

x < 7

no fewer than 7

x ≥ 7

greater than 7

x > 7

at most 8

x ≤ 8

x≤-2

x≥3

x>3

x<-2

x≥-2

x>-2

x<3

x≤3

Open circle

Use for < and >

Closed circle

Use for ≤ or ≥

There is only one solution to this mathematical sentence.

An equation

There are multiple solutions to this mathematical sentence.

An inequality