Inequalities Remediation

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is less than or equal to 7.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

How do you solve the inequality x - 5 < 20?

Back

Add 5 to both sides: x < 25. The solution is all numbers less than 25.

Front

What is the solution to the inequality x - 5 < 20?

Back

The solution is x < 25, which means any number less than 25 is a solution.

Front

How can you represent an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥. Shade the direction of the inequality.

Front

What does the graph of x ≥ -2 look like?

Back

It includes a closed circle at -2 and shades to the right, indicating all numbers greater than or equal to -2.

Front

What is the difference between x < 11 and x ≤ 11?

Back

x < 11 does not include 11, while x ≤ 11 includes 11.