Solving inequalities

Solving inequalities

an inequality is a mathematical sentence that uses an inequality symbol to compare the values of two expressions

Inequality symbols

• There are four inequality symbols

• Less than, Greater (or more) than, Less than or equal to, greater than or equal to

• the next four slides ask you to match the symbols to their words

Multiple Choice

Less Than

• <
• >
• ≤
• ≥

Multiple Choice

more than

• <
• >
• ≤
• ≥

Multiple Choice

Less than or equal to

• $<$

• $>$

• $\le$

• $\ge$

Multiple Choice

greater than or equal to

• $<$

• $>$

• $\le$

• $\ge$

Writing an inequality

Multiple Choice

Bill will have, at most, 31 people at his party.

• p < 31

• p > 31

• p ≤ 31

• p ≥ 31

Multiple Choice

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

Multiple Choice

x is less than or equal to 24

• x > 24
• x < 24
• x ≤ 24
• x ≥ 24

Multiple Choice

Mary must read a minimum of 5 books over the summer for her English class.

• b < 5

• b > 5

• b ≤ 5

• b ≥ 5

Multiple Choice

Bella has less than 6 apples in her basket.

• a < 6

• a > 6

• a ≤ 6

• a ≥ 6

Solutions for inequalities

Multiple Select

Which value(s) are solutions to

 $y\le5$  

• 5

• 6

• 3

• 7

Multiple Select

Which value(s) are solutions to

 $y<5$  

• 5

• 6

• 3

• 4

Showing solutions

Multiple Choice

When graphing an inequality, what does a closed circle mean?

• The number is not included in the list of answers.
• The number is included in the list of answers.

Multiple Choice

Will my dot be colored in?
5 ≥ x

• Yes
• No

Multiple Choice

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

from graphs

you can also go from a graph to an inequality

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

What inequality does the number line graph represent?

• x≥ 3
• x > 3
• x < -3
• x ≤ 3

Multiple Choice

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Poll

How do you feel about inequalites so far?

• I understand them

• I understand the inequality, but not the number line

• I need practice

• I don't understand