One Step Inequalities Flip the Sign

Solving Inequalities by addition and subtraction

Inequality

An open sentence that contains

 $>,<,\ \ge,\ \le$  




 $>\ Greater\ Than\$             $\ge\ Greater\ than\ or\ equal\ to\$  

 $<\ Less\ Than$                     $\le\ Less\ than\ or\ equal\ to\$  

Examples of an inequality:

 $3<6$ 

  $x\ge2$  

 $12,000\le40,000$  

Graphing an Inequality

1) Pay attention to the inequality sign. Does it include an equal sign?

2) Draw an opened or closed circle on the number depending on the sign.

3) Draw an arrow left or right depending on what solutions make the inequality true.

Multiple Choice

$$Does\ x\ge5\ have\ an\ open\ or\ closed\ circle?\$$  

• Opened

• Closed

Multiple Choice

$$Does\ the\ arrow\ for\ the\ graph\ of\ x\ge5\ go\ to\ the\ left\ or\ the\ right\ of\ 5?\$$  

• Left 

• Right 

Multiple Choice

$$x-3>7$$  

• {x|x>10}

• {x|x<10}

• {x|x>4}

• {x|x<4}

Graph the solution to x-3>7 above.

Multiple Choice

$$g+6<2$$  

• {g| $$g>8$$  }

• {g| $$g>-4$$  }

• {g| $$g<8$$  }

• {g| $$g<-4$$  }

Graph the solution to g+6<2 above.

Multiple Choice

$$8r\ +\ 6\ \le\ 9r$$  

• {r| $$r\le6$$  }

• {r| $$r\ge6$$  }

• {r| $$r\le\frac{1}{6}$$  }

• {r| $$r\ge\frac{1}{6}$$  }

Graph the solution to $8r+6\le9r$  above.