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 solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality 2x > 12?

Back

Divide both sides by 2: x > 6.

Front

If a ≥ 11, what does this mean in terms of values for 'a'?

Back

This means 'a' can be 11 or any number greater than 11.

Front

How do you represent 'You must be at least 48 inches tall' in inequality form?

Back

h ≥ 48.

Front

What is the solution to the inequality x - 4 < 8?

Back

Add 4 to both sides: x < 12.

Front

What does the inequality x < 12 represent?

Back

It represents all values of x that are less than 12.

Front

How do you graph the inequality x > 6?

Back

Draw a number line, place an open circle at 6, and shade to the right.