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 (>, <, ≥, ≤).

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you represent a situation where Sue's lunch account is more than Troy's?

Back

The inequality is represented as: 25 - 2.5d > 50 - 3.25d.

Front

What type of dot is used when graphing the inequality x < 5?

Back

An open dot is used when graphing the inequality x < 5.

Front

What type of dot is used when graphing the inequality x ≤ 5?

Back

A closed dot is used when graphing the inequality x ≤ 5.

Front

Solve the inequality: 4(2a + 3) < 3(a - 1).

Back

a < -3.

Front

Solve the inequality: -3 − 6(4x + 6) > -111.

Back

x < 3.