Introduction to Inequalities

Introduction to Inequalities

Identifying and Graphing Inequalities

INEQUALITY

• A mathematical sentence that compares expressions

• It contains the symbols

   $<,\ >,\ \le,\ \ge$  

Greater Than ( > )

• is greater than

• is more than

• mas grande que

Less than ( < )

• is less than

• is fewer than

• menos que

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

What symbol could go in the box to make a true statement?
71  ___  2

• >
• <
• ≥
• ≤

Multiple Choice

Less Than

• <

• >

• ≤

• ≥

Multiple Choice

Which inequality symbol is being shown in the picture?

• greater than

• less than

• less than or equal to

• greater than or equal to

Multiple Choice

• less than
• greater than
• less than or equal to
• greater than or equal to

Solution (answer) of an Inequality

• a value that makes the inequality true

• an inequality can have MORE THAN ONE solution

Multiple Choice

Is 4 a possible solution for p ≥ -8 ?

• Yes
• No

Multiple Choice

Is 9 a possible solution for k<7 ?

• Yes
• No

Multiple Select

Choose ALL the values that are a solution to x $\le$  4 

• -2

• 0

• 4

• 6

• 14

Graph of an inequality

• shows all the solutions of an inequality on a number line

• an OPEN circle is used when a number is not a solution  $<\ or\ >$  

• a CLOSED circle is used when a number IS a solution

   $\le\ or\ \ge$  

Multiple Select

Which inequality symbol(s) has a graph with an OPEN circle?

• <

• ≤

• >

•  $\ge$  

Multiple Choice

Would you use a closed or open circle to graph x < 3?

• Closed
• Open

Multiple Choice

Match the graph with its inequality.

• c > 9
• c < 9
• c ≥ 9
• c ≤ 9

Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11