Inequalities and Compound Inequalities Flashcard

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol 'or' indicate in compound inequalities?

Back

The 'or' in compound inequalities indicates that at least one of the inequalities must be true for the overall statement to be true.

Front

What does the symbol 'and' indicate in compound inequalities?

Back

The 'and' in compound inequalities indicates that both inequalities must be true for the overall statement to be true.

Front

How do you solve the inequality 6x – 14 < –14?

Back

Add 14 to both sides to get 6x < 0, then divide by 6 to find x < 0.

Front

How do you express the solution of an inequality in interval notation?

Back

Interval notation uses parentheses ( ) for exclusive bounds and brackets [ ] for inclusive bounds.

Front

What is the solution to the compound inequality -3 ≤ 2x - 1 ≤ 5?

Back

The solution is -1 ≤ x ≤ 3.

Front

What does the inequality x + 8 < 3 represent?

Back

It represents all values of x that are less than -5.

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use [ or ] with infinity because infinity is not a specific number.

Front

What is the solution to the inequality -8x < -40?

Back

Divide by -8 (remember to flip the inequality sign) to get x > 5.

Front

What does the interval notation [-4, -1) mean?

Back

It means all numbers from -4 to -1, including -4 but not including -1.