Graphing and Writing Inequalities

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

$$y\le9.2$$  

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 Select

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

• $$2x+3\ge-4$$

• $$5<8-x$$

• $$2y\le6$$

• $$9m-19>14+m$$

• $$y<3$$

1. Substitute value in for the variable

2. Evaluate each side.

3. Determine if statement is true.

4. If true it is a solution, if false not a solution

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Checking Solutions

Is x=10 a solution

Is x=-3 a solution

Draw

Is x=7 a solution to the problem, work must be shown on dry erase board.

Draw

Is x=12 a solution to the problem, work must be shown on dry erase board.