One Variable Inequalities

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?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality −2x ≥ 16?

Back

To solve −2x ≥ 16, divide both sides by -2 (remember to flip the inequality sign): x ≤ -8.

Front

What is the solution to the inequality 6 + 2h > 30?

Back

To solve 6 + 2h > 30, subtract 6 from both sides to get 2h > 24, then divide by 2: h > 12.

Front

What is the solution to the inequality 3g > 12?

Back

To solve 3g > 12, divide both sides by 3: g > 4.

Front

How do you solve the inequality 4x + 3 ≤ −6?

Back

To solve 4x + 3 ≤ −6, subtract 3 from both sides to get 4x ≤ -9, then divide by 4: x ≤ -2.25.

Front

What is the solution to the inequality 5z - 2 - 2z < 13?

Back

To solve 5z - 2 - 2z < 13, combine like terms to get 3z - 2 < 13, then add 2 to both sides: 3z < 15, and divide by 3: z < 5.

Front

What is a compound inequality?

Back

A compound inequality consists of two or more inequalities that are combined using 'and' or 'or'.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line involves shading the region that represents all possible solutions and using an open or closed circle to indicate whether the endpoints are included.