Solving 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 'greater than or equal to'.

Front

How do you graph the inequality x < 3?

Back

You use an open circle at 3 and shade to the left.

Front

What does the symbol '<' indicate?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

How do you represent the inequality x ≥ 4 on a number line?

Back

You use a closed circle at 4 and shade to the right.

Front

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

Back

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

Front

If x > 2, what direction do you shade on a number line?

Back

You shade to the right of 2.

Front

What does the inequality 6 > x mean?

Back

It means that x is less than 6.

Front

How do you solve the inequality 2x + 3 < 7?

Back

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

Front

What is the solution set for the inequality x ≤ 5?

Back

The solution set includes all numbers less than or equal to 5.