Graphing Rational Numbers on a Number Line

Activity 4.1 - Writing and Graphing Inequalities

By Shannon Bowen

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Understanding Inequality Statements

Open Ended

You are in at least 5 photos.

List all the numbers below that make this statement true

-3 -2 -1 0 1 2 3 4 5 6

Open Ended

You are in at least 5 of the photos

Is the number 5 included? Why or why not?

Open Ended

You are in at least 5 photos

Write 4 more numbers that make this statement true.

Open Ended

The temperature is less than -4 degrees fahrenheit

List all the numbers below that make this statement true

-7 -6 -5 -4 -3 -2 -1 0 1 2

Open Ended

The temperature is less than -4 degrees fahrenheit.

Can the temperature be exactly -4 degrees Fahrenheit? Explain.

Open Ended

The temperature is less than -4 degrees fahrenheit.

Write 4 other numbers that make the statement true.

Open Ended

More than 3 students from our school are in the chess tournament.

List all the numbers below that make this statement true

-3 -2 -1 0 1 2 3 4 5 6

Open Ended

More than 3 students in our school are in the chess tournament.

Is the number 3 included? Why or why not?

Open Ended

More than 3 students from our school are in the chess tournament.

Write 4 other numbers that make the statement true.

Open Ended

The balance in a yearbook fund is no more than -$5.

List all the numbers below that make this statement true

-7 -6 -5 -4 -3 -2 -1 0 1 2

Open Ended

The balance in a yearbook fund is no more than -$5.

Is the number -5 included? Why or why not?

Open Ended

The balance in a yearbook fund is no more than -$5.

Write 4 other numbers that make the statement true.

Understanding Inequality Symbols

Read the statement and answer the questions.

Multiple Choice

X is a number such that X > -1.5

Can the number be exactly -1.5

• Yes

• No

Draw

X is a number such that X > -1.5.

Shade in the part of the number line that makes the statement true.

Multiple Choice

X is a number such that $$x\le\frac{5}{2}$$  

Can the number be exactly $$\frac{5}{2}$$  

• Yes

• No

Draw

X is a number such that $$x\le\frac{5}{2}$$  .

Shade in the part of the number line that makes the statement true.

Writing and Graphing Inequalities

For each graph, write an inequality.

Open Ended

Write an inequality for the number line.

Open Ended

Write an inequality for the number line.

Open Ended

Write an inequality for the number line.

Open Ended

Write an inequality for the number line.

Open Ended

is $$x\ge-1.4$$  the same as $$-1.4\le x$$  ? Explain