Solving Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' represent in inequalities?

Back

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

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you solve the inequality: X - 20 > -30?

Back

Add 20 to both sides: X > -10.

Front

How do you solve the inequality: -24 + k ≤ 10?

Back

Add 24 to both sides: k ≤ 34.

Front

What is the solution to the inequality: 7(x + 3) < 5x + 13?

Back

Distribute and simplify: 7x + 21 < 5x + 13; then, x < -4.

Front

What is the solution to the inequality: -8b - 8 > 56?

Back

Add 8 to both sides: -8b > 64; then divide by -8 (remember to flip the inequality): b < -8.

Front

What is an open circle on a number line?

Back

An open circle indicates that the number is not included in the solution set, typically used for < or >.