Writing and Graphing Inequalities

Inequalities

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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

$$y\le9.2$$  

Open Ended

Write one solution to the inequality

$$2x-1>7$$  

Open Ended

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

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

Open vs Closed

Multiple Choice

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

• open

• closed

Multiple Choice

A(n) _________ circle indicates that the starting number is not 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?