Solving one step 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

'≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What is the solution to the inequality -3x ≥ 9?

Back

Divide both sides by -3 (remember to flip the inequality sign) to get x ≤ -3.

Front

What does 'at most' mean in terms of inequalities?

Back

'At most' indicates a maximum limit, represented by the symbol '≤'.

Front

What does 'no more than' indicate in an inequality?

Back

'No more than' also indicates a maximum limit, represented by the symbol '≤'.

Front

If 5 + 2x < 15, what is the value of x?

Back

Subtract 5 from both sides to get 2x < 10, then divide by 2 to find x < 5.

Front

What is the graph of the inequality x > 3?

Back

The graph shows an open circle at 3 and a line extending to the right.

Front

How do you represent the inequality 11 ≤ a on a number line?

Back

Draw a closed circle at 11 and shade to the right, indicating all values greater than or equal to 11.