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Handy Dandi Notes

Module 3

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When solving an equation:

  • Identify the variable
  • Determine what operations is being performed with the variable.
  • Use the inverse operation
    • What you do to one side, you MUST do to the other
  • Simplify until the variable stands alone

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WRITING INEQUALITIES

Step 1: Identify the common phrase

Step 2: Identify the appropriate symbol.

m is larger than 75

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Step 3: Write the inequality

m 75

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INEQUALITIES

Closed Circle

The number IS INCLUDED �in the solution set.

Symbols with a ≤ ≥

Open Circle

The number IS NOT INCLUDED �in the solution set.

Symbols with a < >

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GRAPHING INEQUALITIES

Step 1: Find the constant number - this is where you will start

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Step 2: Determine if you need an open or closed circle

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Ste 3: Determine the direction of your line.

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Step 4: Add you direction line,

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N > 3

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Steps for Determining which values are TRUE in a inequality

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Step 1: Replace each variable with one integer from the solution set

(PLUG IT IN)

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Step 2: Simplify the expression on both sides of the inequality.

(DO THE MATH)

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Step 3: Determine if the inequality is true or false.

  • If it is true - the number is a solution
  • If it is false - the number is NOT a solution.

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Step 4: Repeat for all values in the solution set.