Intro to Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does the symbol '≤' represent?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' represent?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you represent 'no higher than 100' in inequality form?

Back

x ≤ 100.

Front

How do you represent 'at least 16' in inequality form?

Back

x ≥ 16.

Front

What direction do you shade on a number line for the inequality 'x > 5'?

Back

You shade to the right.

Front

What does the inequality 'j < 6' represent in a real-world context?

Back

It represents that Jamari took less than 6 seconds to run 100 yards.

Front

What is a solution to the inequality 'y > 9'?

Back

Any number greater than 9, such as 10.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities ('<' and '>') do not include the boundary value, while non-strict inequalities ('≤' and '≥') do include the boundary value.

Front

How would you graph the inequality 'x < 3'?

Back

You would draw a number line, place an open circle at 3, and shade to the left.