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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you represent 'x is greater than 3' on a number line?

Back

Use an open circle at 3 and shade to the right.

Front

How do you represent 'x is less than or equal to -4' on a number line?

Back

Use a closed circle at -4 and shade to the left.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., > or <), while a closed circle indicates that the number is included (e.g., ≥ or ≤).

Front

How would you graph the inequality 'b < 6'?

Back

Use an open circle at 6 and shade to the left.

Front

What inequality represents 'there are fewer than 150 children at the playground'?

Back

c < 150.

Front

If 'r ≥ -6', how would you graph this inequality?

Back

Use a closed circle at -6 and shade to the right.

Front

What does the inequality 'x < -3' represent on a number line?

Back

Shade to the left of -3 with an open circle at -3.