Solving and Graphing 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

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.

Front

What is the solution to the inequality 11 > -3y + 2?

Back

Subtract 2 from both sides: 9 > -3y. Then divide by -3 (flip the inequality): -3 < y.

Front

Which number line represents the solution to 11x + 14 < -8?

Back

The solution is x < -2. The correct number line is option d.

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14. Then divide by 7: b < 2.

Front

What is the solution to the inequality -7 + 10z > -27?

Back

Add 7 to both sides: 10z > -20. Then divide by 10: z > -2.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solution set on a number line, using an open or closed circle to indicate whether the endpoint is included.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.