Solving One-Step Inequalities

Post on 03-Jan-2016

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Solving One-Step Inequalities. Inequality - mathematical sentence that uses the symbols < , >, ≤ , ≥ to compare two amounts. Solution Set - the set of values that make the inequality true. Copy this table into your notes. Let’s think ………. What is less than 2 ….. X < 2?. 1,0,-1,-2,-3…. - PowerPoint PPT Presentation

Transcript of Solving One-Step Inequalities

Symbol Meaning Graph

< Less than Open circle

> Greater than Open circle

≤ Less than or equal to Closed circle

≥ Greater than or equal to

Closed circle

Let’s think ………

1,0,-1,-2,-3…

What about… ½ or 1.999999?

This is why we use an open circle when we graph the inequality

x< 2

Is 2 less than 2?

The open circle tells us that 2 is not included

Graph x > 2

Where do we put the circle ?

In which direction does the arrow go?

Think…what could you plug in for x that is greater than 2?

What about x ≤ 2 ……is 2 ≤ 2

Which way does the arrow go?

What about x ≥ 2 ……is 2 ≥ 2

Which way does the arrow go?

Where do we put the circle ?

1.Write the inequality above the number line.

2.Graph the inequality.

1) x > 82) x< 73) x ≤ 44) x ≥ -35) x < -56) x ≤ 6

Solving One- Step Inequalities