Intro to Inequalities

Intro to Inequalities

What is an inequality? Is this number a solution? How do I graph the solution set?

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​MGSE7.EE.4b

​Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, as a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

7th Grade | Math

Intro to Inequalities by Kevvin Hankins

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​Learning Targets

​I can solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers.

I can graph the solution set of the inequality and interpret it in the context of the problem.

7th Grade | Math

Intro to Inequalities by Kevvin Hankins

​Vocabulary

• ​Algebraic expression

• Coefficient

• Constant

• Equation

• Inequality

• Term

• Numerical expression

• Variable

7th Grade | Math

Intro to Inequalities by Kevvin Hankins

​Essential Questions

1. How can inequalities be used in order to demonstrate all possible values that are solutions to a given real life situation?

2. How inequalities be displayed on a number line to provide a visual representation of a given situation?​

7th Grade | Math

Intro to Inequalities by Kevvin Hankins

What is an inequality?

• a comparison between two numbers or expressions

• infinite possibilities for solutions

Multiple Choice

How many solutions do most inequalities have?

• 0

• 1

• 100

• infinite

Inequality Symbols

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Equations vs Inequalities

Multiple Select

Select all of the inequalities

• Jane is 9 years old

• Billy has more than 4 dogs

• Jessica watches less than 3 hours of TV

• Yadira has 6 rings

What symbol is this?

• The less than symbol

• How do you know this is the less than symbol?

The left arrow on the number line looks just like the less than symbol. When you go left on the number line the numbers get smaller.

You can make the less than symbol with your hand as well.

Multiple Choice

If your grade is less than a 60, then you have an F.

• x < 60

• x > 60

• x ≤ 60

• X ≥ 60

Here are some words that mean less than

WRITE THEM DOWN

What symbol is this?

• The greater than symbol

• How do you know this is the greater than symbol?

The right arrow on the number line looks just like the greater than symbol. When you go right on the number line the numbers get bigger.

You can make the greater than symbol with your hand as well.

Multiple Choice

To ride a roller coaster you must be over 58 inches tall.

• h > 58

• h < 58

• h ≥ 58

• h ≤ 58

Here are some words that mean greater than

WRITE THEM DOWN

What symbol is this?

• The less than OR equal to symbol

• How do you know this is the less than OR equal to symbol?

• The line underneath the less than symbol is part of the equal sign

Here are some words that mean less than or equal to

WRITE THEM DOWN

Multiple Choice

Which inequality correctly represents:
You can score no higher than a 100 on your test

• x<100

• x>100

• x $$\le$$ 100

• x $$\ge$$ 100

What symbol is this?

• The greater than OR equal to symbol

• How do you know this is the greater than OR equal to symbol?

• The line underneath the greater than symbol is part of the equal sign

Here are some words that mean greater than or equal to

WRITE THEM DOWN

Multiple Choice

Which inequality correctly represents:

You must be at least 16 to have a driver's license

• x<16

• x>16

• x $$\le$$ 16

• x $$\ge$$ 16

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