Solving and Graphing Inequalities

Solving and Graphing Inequalities

by Kevvin Hankins

INEQUALITIES

INEQUALITY

GREATER THAN

• is greater than

• is more than

LESS THAN

• is less than

• is fewer than

GREATER THAN OR EQUAL TO

• is greater than or equal to

• is at least

• is no less than

LESS THAN OR EQUAL TO

• is less than or equal to

• is at most

• is no more than

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

There are fewer than 50 people allowed in this area.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I need at least 30 orders to meet my qouta.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I see more than a dozen seagulls.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I can spend no more than $20 at the store.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

SOLUTION OF AN INEQUALITY

• a value that makes an inequality true

• an inequality can have more than one solution

SOLUTION SET

• the set of all solutions of an inequality

Multiple Select

CHOOSE ALL VALUES OF X THAT ARE A SOLUTION OF THE INEQUALITY.

$$X<-5$$  

• -25

• 0

• -8

• -4

• -10

GRAPH OF AN INEQUALITY

Multiple Choice

WHICH INEQUALITY IS REPRESENTED BY THE GRAPH?

• $$X\ <\ 1$$

• $$X\ \le\ 1$$

• $$X\ >\ 1$$

• $$X\ \ge\ 1$$

Multiple Choice

WHICH INEQUALITY IS REPRESENTED BY THE GRAPH?

• $$X\ <\ 2$$  

• $$X\ \ge\ 2$$  

• $$X\ >\ 2$$  

• $$X\ \le\ 2$$  

SOLVING INEQUALITIES

• You solve inequalities in much the same way you solve equations

• isolate the variable

• use INVERSE OPERATIONS

• keep your INEQUALITY balanced by doing the same operations on both sides of the INEQUALITY sign

Fill in the Blanks

The inverse of addition is

Fill in the Blanks

The inverse of division is

Poll

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(BE HONEST) This question is not graded.

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• I reviewed the slide show, but didn't really try the practice questions.