Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality y - 10 > 14?

Back

Add 10 to both sides: y > 24.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

Front

What is the solution to the inequality z ≤ 9?

Back

The solution indicates that z can take any value less than or equal to 9.

Front

What is the graphical representation of y + 5 ≥ 2?

Back

Graph the line y = -3 and shade above the line to indicate y is greater than or equal to -3.