Write and Graph Inequalities

Presentation

•

Mathematics

•

8th - 9th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 7 Questions

Inequalities

Remember, there are two sides to an inequality! The greater than side and the less than side.

Multiple Choice

How many solutions are there to the equation $2x+1=7$ ?

one

two

three

infinite

Poll

How many solutions do you think the inequality $3+x>5$ has?

one

two

three

infinite

Open Ended

Write one solution to the inequality

y\le9.2

Type response here

Open Ended

Write one solution to the inequality

2x-1>7

Type response here

Open Ended

What do you think makes a value a "solution" to an inequality?

Type response here

Solutions to Inequlities

Any value that makes the inequality true is a solution
Unlike equations, inequalities have a range of solutions

Graphing Solutions to Inequalities

An inequality like
$3+x<9$ has too many solutions to list
We can use a graph on a number line to show all solutions
The solutions continue past the arrow to the left!

Open vs Closed

An open circle indicates < or > , meaning that we do not include the starting number.

A closed circle indicates

\le

\ge

, meaning that we do include the starting number.

Multiple Choice

A(n) _________ circle indicates that the starting number is also a solution to the inequality.

open

closed

Multiple Select

Select all the inequalities that would be graphed with a closed circle.

$2x+3\ge-4$

$5<8-x$

$2y\le6$

$9m-19>14+m$

$y<3$

Write an inequality to match the number line graph. Can you think of more than one inequalities that match?

Inequalities

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