Solving inequalities

Front

What does the inequality symbol '≤' mean?

Back

It means 'less than or equal to'. For example, x ≤ 5 means x can be any number less than or equal to 5.

Front

What does the inequality symbol '≥' mean?

Back

It means 'greater than or equal to'. For example, x ≥ 3 means x can be any number greater than or equal to 3.

Front

What is the solution to the inequality x < -4?

Back

The solution includes all numbers less than -4, represented on a number line to the left of -4.

Front

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

Back

Add 3 to both sides to get 13 ≥ x, which can be rewritten as x ≤ 13.

Front

What is the solution to the inequality k - 13 > -51?

Back

Add 13 to both sides to get k > -38.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 and flip the inequality sign to get m > -2.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

What does the inequality x > 7 represent on a number line?

Back

It represents all numbers greater than 7, shown with an open circle at 7 and shading to the right.

Front

What is the solution to the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to get 3x < 15, then divide by 3 to find x < 5.

Front

What does the term 'solution set' mean in inequalities?

Back

The solution set is the set of all values that satisfy the inequality.