Solving Inequalities Practice Flashcard

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

How do you solve the inequality 4x - 6 > x - 2?

Back

To solve, first isolate x: 4x - x > -2 + 6, which simplifies to 3x > 4. Then, divide by 3: x > 4/3.

Front

What is the solution to the inequality x + 2 < -4?

Back

Subtract 2 from both sides: x < -6.

Front

What does 'x ≤ -2 OR x > 5' represent graphically?

Back

This represents two separate regions on a number line: all values less than or equal to -2 and all values greater than 5.

Front

How do you express '11 is less than or equal to a' in inequality form?

Back

The inequality form is 11 ≤ a.

Front

What is the solution set for the inequality -5x < -15?

Back

Divide by -5 (remember to flip the inequality): x > 3.

Front

What does the solution 'x < -6 or x > 3' indicate?

Back

It indicates that x can take any value less than -6 or any value greater than 3.

Front

How do you graph the inequality x ≥ 6?

Back

Draw a solid dot at 6 and shade to the right, indicating all values greater than or equal to 6.

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' means both conditions must be true simultaneously, while 'OR' means at least one condition must be true.