Inequality Review

Inequality Review

by George Mitchell

​Inequality

​ A mathematical sentence that include these symbols:

​<, is less than

>, is greater than

​Solving Equations and Inequalities

​When solving an equation, you must use inverse operations to isolate the variable.

​

​When solving an inequality, you must use inverse operations to isolate the variable.

Multiple Choice

Which type of symbol is used for an inequality?

• =

• +

• >

• pi

Multiple Choice

What is the meaning of this symbol: > ?

• Is not equal to

• is greater than

• is less than

• is equal to

Multiple Choice

What is the meaning of this symbol:  $$\le$$   ?

• is greater than or equal to

• is equal to 

• is less than or equal to 

• is less than

Multiple Choice

What is the meaning of this symbol: < ?

• is less than

• is greater than or equal to

• is equal to

• is less than or equal to

Multiple Choice

What is the meaning of this symbol:  $$\ge$$  ?

• is less than

• is less than or equal to

• is greater than 

• is greater than or equal to

​Solution v. Solution Set

​An equation will usually yield only one solution like the equation that is solved on the right.

​

​Solution

​a means of solving a problem.

​Solution V. Solution Set

​An inequality will usually yield more than one solution. This is due to meaning of the inequality symbols, and it is this reason why the solutions set must be graphed.

​

​Solution Set

​

​a complete set of numbers that satisfy(make true) an equation or inequality.

​Inequalities and NegativeNumbers

​

​When multiplying or dividing a negative number on both sides of the inequality,

​

​You must reverse the symbol in order for the inequality to remain true.

​Notice in the inequality, when -6 is divided on both sides.

Multiple Choice

An inequality solved using...

• a ruler

• a compass

• same operations

• inverse operations

Multiple Choice

When multiplying or dividing a negative number, you must...

• keep the same inequality symbol

• change the inequality to an equal sign

• reverse the inequality symbol

​Graphing Inequalities

​Since inequalities will usually yield more than one solution, it is important to see the possible solutions visually using a number line.

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​Graphing Inequalities

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Multiple Choice

$$<,\ >$$  

What type of circle must you have for these inequality symbols?

• Open circle

• small circle

• closed circle 

• large circle

Multiple Choice

What type of circle must you have for these inequality symbols?

$$\le,\ \ge$$  

• Open circle

• small circle

• closed circle

• large circle

Multiple Choice

For these symbols, what direction do you shade the number line?

$$<,\ \le$$  

• shade up

• shade right

• shade down

• shade left

Multiple Choice

For these symbols, what direction do you shade the number line?

$$>,\ \ge$$  

• shade up

• shade right

• shade left

• shade down

Open Ended

What do you know now about inequalities?