One Step Inequalities

One Step Inequalities

Inequality
An open sentence that contains

 $<,>,\le,\ge$  

> Greater Than 
≥ Greater than or equal to 
< Less Than
≤ Less than or equal to 

Multiple Choice

True or false less than is a closed dot?

 $<$  

• True

• False

Multiple Choice

True or false greater than on a graph the arrow goes to the left?

• True

• False

Multiple Choice

Solve the inequality.

 $n-5\ge\ 2$  

•  $n\le7$  

•  $n\ge3$  

•  $n\ge7$  

•  $n\le-3$  

What is the mistake?

Check the solution

Plug the x < 10 back into the equation to see if it works. You notice that 13 is not less than 7. Therefore, we made a mistake somewhere.

Is there a mistake?

Multiple Choice

Solve the inequality.

 $5>n-3$  

•  $8<n$  

•  $8>n$  

•  $2>n$  

•  $2<n$  

Solve the inequality.

 $n+4\ge16$  

• What is the first step?

• The opposite of adding 4 is to subtract 4

• Subtract 4 to both sides

• 16 - 4 = 12

• The sign stays the same since we are subtracting

•  $n\ge12$  

Multiple Select

When does the inequality sign change?

• When adding

• When multiplying

• When dividing by a negative

• When multiplying by a negative

• When subtracting

Multiple Choice

Solve the inequality.

 $-7y\le14$  

•  $y\le-2$  

•  $y\ge-2$  

•  $y\le2$  

•  $y\ge2$  

 $-7y\le14$  

• First step is to do what?

•  $-7y$  means to multiply y by -7

• First step is to do the opposite which is divide by -7 to both sides

• Remember divide by a negative we switch the signs

• so,  $y\ge-2$  

Poll

How do you feel about inequalities?

• I feel confident

• I feel like it is a lot to know

• I am confused

• I feel like I need more practice

• I feel okay