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'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 5 - x ≥ 2?

Back

Subtract 5 from both sides: -x ≥ -3. Then multiply by -1 (remember to flip the inequality): x ≤ 3.

Front

What is the solution set of the inequality 2x - 4 < 10?

Back

Add 4 to both sides: 2x < 14. Then divide by 2: x < 7.

Front

Which of the following is a solution to the inequality 2x - 4 < 10? (Options: 7, 6, 8, 14)

Back

6 is a solution because when you substitute x with 6, the inequality holds true.

Front

What is the graph of the inequality x > 3?

Back

The graph is a number line with an open circle at 3 and a line extending to the right.

Front

What is the graph of the inequality x ≤ 4?

Back

The graph is a number line with a closed circle at 4 and a line extending to the left.