April 30 Define, Read and Graph Inequalities

April 30 One Step Inequalities

SOL 6.14

Expression

• a mathematical statement that does not have an equal sign

• example: 5x + 3

Multiple Choice

An expression is a mathematical statement that _____________.

• has an equal sign

• does NOT have an equal sign

Term

• a constant, variable or coefficients with a constant; usually separated by addition or subtraction

• example: -3x + 5 - 2x = 3

Multiple Choice

A part of a mathematical expression separated by addition or subtraction symbols

• constant

• term

• equation

• variable

What is an inequality?

• A comparison of two terms or expressions

• A mathematical sentence stating that one side of the inequality is greater than or less than the other side of the inequality

What are the symbols used for an inequality?

•  $<\ \ \ >$  
  

•  $\le\ \ \ge$  
  

• Can you guess what they are?

Multiple Choice

Name that symbol

• greater than

• less than

• less than or equal to

• greater than or equal to

Multiple Choice

Name this symbol

• greater than

• less than

• less than or equal to

• greater than or equal to

Multiple Choice

What is my name (the symbol, not me)

• greater than

• less than

• less than or equal to

• greater than or equal to

Multiple Choice

Holler. . .do you know me?

• greater than

• less than

• less than or equal to

• greater than or equal to

Solutions to an inequality

• Solutions to an inequality is a number that makes the inequality true

• This will be a range (more than one) of numbers

• For example. . .

Multiple Choice

 $x>15\ \ \ x=21$  True or False?

• True

• False

Multiple Choice

 $z\ \le15\ \ \ z=19$  True or False?

• True

• False

Graphing Inequalities

• We can graph inequalities on a number line

• The inequalities will show a range of numbers that make it true

• Can you guess the correct graph?

Multiple Choice

The closed hole means that the number is included in the inequality. [hint: equal to]

• X is greater than 3

• X is less than 3

• X is greater than or equal to 3

• X is less than or equal to 3

Multiple Choice

The closed hole means that the number is included in the inequality. [hint: equal to]

• X is greater than 3

• X is less than 3

• X is greater than or equal to 3

• X is less than or equal to 3

Multiple Choice

The open hole means that the number IS NOT included in the inequality.

• X is greater than 3

• X is less than 3

• X is greater than or equal to 3

• X is less than or equal to 3

On to Desmos

Check Desmos or Google Classroom