Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the symbol is larger than the value on the right side.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the symbol is smaller than the value on the right side.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either greater than or equal to the value on the right side.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either less than or equal to the value on the right side.

Front

How do you represent the solution to the inequality x < 8?

Back

The solution can be represented on a number line with an open dot at 8 and shading to the left.

Front

What is the solution set for the inequality 7x ≤ 10?

Back

The solution set is x ≤ 10/7 or approximately x ≤ 1.43.

Front

How do you graph the inequality a < -2?

Back

Graph the inequality with an open dot at -2 and shade to the left.

Front

What is the solution to the inequality p ≤ 95?

Back

The solution indicates that the maximum score p can be 95 or any value less than 95.

Front

What is the meaning of the inequality 14 < -2a + 6 - 2a?

Back

This inequality can be simplified to find the values of a that satisfy the condition.