Graphing Inequalities

Front

What does the inequality x ≤ 20 represent in a real-world context?

Back

It means you can spend no more than 20 dollars on your mom's birthday present.

Front

Which symbols indicate a closed circle when graphing inequalities?

Back

≤ and ≥

Front

What does the inequality x < -4 mean on a number line?

Back

It represents all numbers less than -4.

Front

How do you represent the inequality '6 is greater than x' on a number line?

Back

You would shade to the left of 6 and use an open circle at 6.

Front

What is the difference between x < 5 and x ≤ 5?

Back

x < 5 means 5 is not included, while x ≤ 5 means 5 is included.

Front

How do you graph the inequality x ≥ 3?

Back

You use a closed circle at 3 and shade to the right.

Front

What does the inequality x > 10 indicate?

Back

It indicates all numbers greater than 10.

Front

If a number line has a closed circle at -2 and shading to the left, what inequality does it represent?

Back

x ≤ -2.

Front

What does the inequality x < 0 represent?

Back

It represents all negative numbers.

Front

How would you express 'you can have at most 15 apples' as an inequality?

Back

x ≤ 15.