Inequalities

Inequalities

What are they and how do you graph them?

Inequalities

have many solutions

Multiple Choice

Which inequality symbol would you use to compare the weight of an elephant with the weight of a feather?

• elephant < feather

• elephant > feather

Elephant > Feather

The big end is open to the big amount, the small end is pointed to the small amount. The elephant is greater than the feather.

Notice the arrow tip looks like a < sign.

Notice the arrow tip looks like a > sign.

Multiple Select

If something IS NOT equal and we don't know if it is greater or less, you would use which symbol?

• $$>$$

• $$<$$

• $$\ge$$

• $$\le$$

• $$\ne$$

Is she older or younger?

Multiple Choice

Which inequality would you use to show that "up to 30 students can ride in a bus"?

• $$s>30$$  

• $$s<30$$  

• $$s\ge30$$  
  

• $$s\le30$$  
  

• $$s\ne30$$  

Since you could have less than 30 students on the bus, you would want the less than symbol.  But you could also have 30 students, so you would use the line under the less than sign, making it less than or equal to 30 students.

Multiple Choice

If the maximum weight , w, an elevator could lift was 2,200 pounds, which expression would represent that?

• $$w>2,200$$

• $$w<2,200$$

• $$w\ge2,200$$

• $$w\le2,200$$

• $$w\ne2,200$$

This would also use the less than or equal to symbol because the elevator can lift 2,200 pounds or anything less than that.

Multiple Choice

Which inequality should be used to show that "Amy is not 8 years old"?

• $$a>8$$

• $$a<8$$

• $$a\ge8$$

• a $$a\le8$$

• $$a\ne8$$

Amy IS NOT 8, but I don't know Amy, so I don't know if she is older or younger.  All I know is that she isn't 8.