Writing Inequalities

WRITING INEQUALITIES

• LET'S REVIEW:
• < - "Less Than" Ex: 3 < 7
• < - "Less Than or Equal To" Ex: 4 < 4
• > - "Greater Than" Ex: 9 > 4
• > - "Greater Than or Equal To" Ex: 10 > 7

'Less Than' and 'Less Than or Equal To'

• < and < both point to the left, you can remember this since they both start with the letter L (Less than and Left)
• KEY WORDS:
• "Less than": "Less than or equal to":
• "Less than" "Less than or equal to"
• "Fewer than" "No more than"
• "Up to" "At most"

'Greater than' & 'Greater than or equal to'

• > or >
• KEY WORDS:
• "Greater than": "Greater than or equal to":
• "Greater than" "Greater than or equal to"
• "More than" "No less than"
• "Exceeds" "At least"
• "In Excess of"

LET'S PRACTICE LESS THAN...

• There are fewer than 25 freshman here for the game. Write an inequality using x for the number of freshman.
• Solution:
• "fewer than" means "less than"
• # of freshman < 15
• x < 15

LET'S PRACTICE LESS THAN OR EQUAL TO

• There are no more than 15 youth here for practice. Write an
• inequality using x for the number
• of youth.
• Solution:
• The problem says "no more than" which means it can be 15 or less.
• # of youth < 15
• x < 15

LET'S PRACTICE GREATER THAN...

• Sam has more than $100 in his coat pocket. Write an inequality letting x represent the amount of money in Sam's pocket.
• Solution:
• "more than" means "greater than"
• amount of $$ > $100
• x > 100

LET'S PRACTICE Greater than or equal to...

• Once you have your own cell phone bill to pay for it will cost you at least $50 a month. Let x represent the cost of the phone bill.
• Solution:
• "at least" means it will cost you $50 or more which means "greater than or equal to"
• amount of bill > $50
• x > 50

Now You Try...

• Hannah's checking account exceeds $400. Write an inequality using x to represent the amount of money in Hannah's account.

Solution...

• Hannah's checking account exceeds $400. Write an inequality using x to represent the amount of money in Hannah's account.
• Solution:
• "exceeds" means "greater than"
• amount of $$ > $400
• x > 400

Now You Try...

• Christy's puppy weighs at most 10 pounds. Write an inequality using x to represent how much Christy's puppy weighs.

Solution...

• Christy's puppy weighs at most 10 pounds. Write an inequality using x to represent how much Christy's puppy weighs.
• Solution:
• "at most" means the puppy can weigh 10 pounds but no more than 10 pounds so this means "less than or equal to"
• # of pounds puppy weighs < 10
• x < 10

Slide 12

• Now it's time for you to go try some problems on your own. Don't forget I am just a message away, so please feel free to reach out if you have any questions.
• HOPE YOU HAVE A GREAT DAY!!
• 
• Caption: Image created by K. Grigg via Bitmoji.com, free per terms of use