Solutions vs Solution Sets

Solutions vs Solution Sets

EE5

Vocabulary

• Equation: A mathematical sentence that contains an equal sign 

• Inequality: A mathematical sentence that contains the symbols >, <, ≥, or ≤

• Solution: the set of all values which, when substituted for unknowns, make an equation true

• Substitution: the process of replacing a variable in an expression with its actual value.

• Solution Set: the set of all values which, when substituted for unknowns, make an inequality true

Inequalities

This video goes through the symbols and meaning. We will have a discussion afterwards to determine your level of understanding.

Open Ended

What are some important facts that you learned from the video

Solution vs Solution Set

• As you saw in the vocabulary a solution is a number that make an equation true

• Where a solution set is a set of numbers that make an inequality true.

• ** in your future math classes there will be equations that have multiple solutions but for now we are only working with equations with 1 solution

Fill in the Blank

What is the solution to the equation written below:

^x+5=13

Fill in the Blank

What is the solution to the equation written below:

x/2=8

Multiple Select

Select all would make the inequality true:

x>4

• 1

• 5

• -4

• 9

• 15

Poll

Do we understand the difference between a solution to an equation and a solution to an inequality?

• Red: Still very confused and need deeper explanation

• Yellow: I'm in the middle just need a little more practice

• Green: I completely understand the difference and want to try some examples

How do we test solutions

The next few slides will go into how we test solutions to both equations and inequalities

Testing Solutions to Equations

This video shows how we use substitution to test solutions to equations

Testing Solutions to Inequalities

This video shows how we use substitution to test solutions to inequalities