Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides to get x ≤ 13.

Front

What is the solution to the inequality 8x ≥ -32?

Back

Divide both sides by 8 to get x ≥ -4.

Front

What does the inequality -7 + 10z > -27 imply about z?

Back

Add 7 to both sides and then divide by 10 to find z > -2.

Front

How do you graph the inequality 11 ≤ a?

Back

Graph a number line and shade to the right of 11, including 11.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides and then divide by 4 to find x ≤ -5.

Front

What does the inequality x ≥ 4 mean in terms of a number line?

Back

It means x can be 4 or any number greater than 4, shaded to the right starting from 4.

Front

How do you interpret the inequality 11 > a?

Back

It means a can be any number less than 11.