U5 Inequalities

What Inequality Symbols do we use for Open Circle Graphs?

• +,-

• >,<

• * , /

• ? , !

Answer explanation

>,<

What Inequality Symbols do we use for Closed Circle graphs?

Answer explanation

Greater than or EQUAL to and Less than or EQUAL to

Solve :

SHOW YOUR WORK

• { x | x > -9 }

• { x | x < 60 }

• { x | x > 45 }

Solve and Graph

-5 ( x + 2 ) > -3 ( x - 4 )

• {x | x < 2 }

• { x | x < -11 }

• { x | x > -1}

State what the following says is set builder notation:

{ x | x < 10 }

• For x's, x is more than 10

• the set of numbers x, such that, x is less than 10

• x < 10

• x is less than 10

What type of boundary line do we use for an OPEN half plane graph…

Draw it below

Answer explanation

Dashed line because open means less than or greater than

What type of boundary line do we use for a CLOSED half plane graph …

Draw below

Answer explanation

Solid line because greater than or equal to or less than or equal to

Translate the following inequality into words

3x - 5 > 9

• 3 times x minus 5 is greater than 9

• 3 divided by x plus 5 is less than 9

• 3 times x minus five is less than 9

Translate the following words into an inequality:

Seven minus two times a number is greater than 15

• 7 - 2x < 15

• x(7 -2) < 15

• 7 - 2x > 15

Solve :

Show your work!

6x + 13 < 5 (2x - 3)

• { x | x < -7 }

• { x | x > 10 }

• { x | x > 7 }