Graphing/ Write/ and Solve Inequalities

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

Front

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

Back

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

Front

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

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 an inequality?

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 x + 7 < 12?

Back

Subtract 7 from both sides: x < 5.

Front

Is x = 12 a solution to the inequality x > 5?

Back

Yes, because 12 is greater than 5.

Front

Solve the equation 3x + 7 = -8.

Back

Subtract 7 from both sides: 3x = -15. Then divide by 3: x = -5.

Front

Match the inequality b ≤ -2 with its graph.

Back

The graph shows a closed circle at -2 and a line extending to the left.

Front

What is the solution to the inequality z ≤ 9?

Back

The solution includes all numbers less than or equal to 9.