Solving Compound Inequalities

Front

What does the phrase 'at least' indicate in an inequality?

Back

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

Front

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

Back

x < -8 or x < 2.

Front

How do you represent the statement 'Tucker lost fewer than 9 points' in inequality form?

Back

p < 9.

Front

What does the symbol '≤' represent in inequalities?

Back

It represents 'less than or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

It represents 'greater than or equal to'.

Front

If x ≤ -2 OR x > 5, what does this mean in terms of graphing?

Back

It means that the solution includes all values less than or equal to -2 and all values greater than 5.

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 graph the inequality x < 3?

Back

You would draw a number line, shade to the left of 3, and place an open circle at 3.

Front

What is the solution to the compound inequality x + 2 > 5 AND x - 1 < 4?

Back

x > 3 AND x < 5.

Front

What does the inequality x ≥ 4 represent?

Back

It represents all values of x that are greater than or equal to 4.