Algebra 2 Compound Inequalities Review

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'. It represents a range of values that satisfy all the inequalities involved.

Front

What does 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means that both conditions must be true simultaneously. The solution is the intersection of the two inequalities.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' means that at least one of the conditions must be true. The solution is the union of the two inequalities.

Front

Solve the compound inequality: 3x - 4 < -13 or 7x + 1 > 22.

Back

x < -3 or x > 3.

Front

What is the solution to the inequality: 3x + 2 < -4 or 4x + 4 > 24?

Back

x < -2 or x > 5.

Front

What does the graph of x > 2 or x ≤ -3 look like?

Back

It shows two separate regions: one to the right of 2 (not including 2) and one to the left of -3 (including -3).

Front

Solve the compound inequality: -4x + 1 ≤ 21 and 5x + 2 < 22.

Back

x ≥ -5 and x < 4.

Front

What is the solution set for the inequality x ≥ -5?

Back

All real numbers greater than or equal to -5.

Front

How do you graph the inequality x < -3?

Back

Draw a number line, place an open circle at -3, and shade to the left.

Front

What is the difference between 'x > 5' and 'x ≥ 5'?

Back

'x > 5' means x is greater than 5 (not including 5), while 'x ≥ 5' means x is greater than or equal to 5 (including 5).