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 '>' represent in inequalities?

Back

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

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

How do you solve the inequality -2(x + 2) < 14?

Back

x > -9.

Front

How do you solve the inequality -13t > 26?

Back

t < -2.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the endpoint is included in the solution (≤ or ≥).

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the endpoint is not included in the solution (< or >).

Front

How do you solve the inequality -7 + 10z > -27?

Back

z > -2.