Solving Compound Inequalities

Front

What does the inequality p < 9 represent in a real-world context?

Back

It means that the value of p is less than 9, indicating a loss of fewer than 9 points.

Front

What does the phrase 'at least' signify in terms of inequalities?

Back

It signifies that the value is greater than or equal to a certain number, represented by the inequality ≥.

Front

What is the solution to the compound inequality -8 < 2(x + 4) or -3x + 4 > x - 4?

Back

The solution is x < -8 or x < 2.

Front

How do you graph the inequality x ≤ -2 OR x > 5?

Back

You shade to the left of -2 and to the right of 5 on a number line.

Front

What does the inequality x ≤ -2 indicate about the value of x?

Back

It indicates that x can be any number less than or equal to -2.

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.

Front

How would you express the solution x > -8 and x < 2 in interval notation?

Back

The interval notation is (-8, 2).

Front

What is the graphical representation of the inequality x ≥ -2?

Back

It includes all numbers greater than or equal to -2, represented by a closed dot at -2 and shading to the right.

Front

If a student scored less than 75% on a test, how would you write this as an inequality?

Back

The inequality would be s < 75, where s represents the score.

Front

What does the compound inequality 3 < x < 7 mean?

Back

It means that x is greater than 3 and less than 7.