Inequalities

1
Inequalities

• SPI 0506.3.4 Given a set of values, identify
  those that make an inequality a true statement.

GLE 0506.3.4 Solve single-step linear equations
and inequalities.
2
I'm saving 2 per week of my allowance to buy a
video game that costs 27.89.  How many weeks
will it take me to get enough money? 
of weeks total amount saved
1 2








3
Continue Chart here if necessary 
of weeks total amount saved









4
Questions to ponder

• Do you notice a pattern?
• How many weeks will I have to save up in order to
  have enough money to buy the video game that is
  27.89 ?
• Can you write a number sentence showing the
  relationship between the number of weeks and the
  total amount saved?

The in the 2nd column is 2 times the in the
1st column
Any number more than 13 will work.
2 x gt 27.89
This is called an inequality
5
What is an Inequality ?

• An inequality says that two values are not
  equal. a ? b says that a is not equal to
  bThere are other special symbols that show in
  what way things are not equal.a lt b says that a
  is less than ba gt b says that a is greater than
  ba b means that a is less than or equal to
  ba b means that a is greater than or equal to
  b.

6
Inequalities

lt gt ³
less than fewer than greater than more than exceeds less than or equal to no more than at most greater than or equal to no less than at least
Inequality symbols
7
Inequalities
Example For the given value, state whether each
inequality is true or false. x 7 gt 16 If x
15
8
Inequalities

• Example
• For the given value, state whether each
  inequality is true or false.
• x 7 gt 16, x 15
• 15 7 gt 16
• 8 gt 16

This sentence is false.
9

• Watch BrainPop on Inequalities

10
Practice writing inequalities

• In your spiral, try to write the following
  inequalities correctly.
• Example 5 is less than or equal to x
• would look like 5 lt x

11
Get readyset. GO !
12

• 17 is greater than y
• r is not equal to p
• 3. 8 is less than or equal to w

13
Check your answers

• 17 is greater than y
• r is not equal to p
• 3. 8 is less than or equal to w

17 gt y
r ? p
8 w
14

1. t is greater than or equal to 25
2. 9 is equal to g
3. h is greater than e
4. 15 is not equal to c

15
Check your answers

1. t is greater than or equal to 25
2. 9 is equal to g
3. h is greater than e
4. 15 is not equal to c

t 25
9 g
h gt e
15 ? c
16
For Homework

• Come up with 5 word phrases (like we did for
  practice) and do the following
• Write your 5 word phrases- skipping one line
  between each phrase
• Write the answers to your word phrases on the
  back (with the corresponding )
• Example- Id write this on the front
  1) 15 is not equal to c
• Id write this on the back of my paper

1) 15 ? c
17

• Whoever follows the directions and completes the
  homework will get to participate in a fun
  activity tomorrow ?

That Quiz Practice with Inequalities If you have
time