Algebra 1 Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is larger or smaller than the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you graph the inequality x ≤ -2?

Back

To graph x ≤ -2, draw a number line, place a closed circle on -2 (indicating that -2 is included), and shade to the left to show all values less than -2.

Front

What is the solution set for the inequality x > 5?

Back

The solution set for x > 5 includes all real numbers greater than 5.

Front

How do you solve the compound inequality -3 ≤ 2x - 1 ≤ 5?

Back

To solve -3 ≤ 2x - 1 ≤ 5, first add 1 to all parts: -2 ≤ 2x ≤ 6. Then divide by 2: -1 ≤ x ≤ 3.

Front

What does the solution x < -3 or x > 1 represent?

Back

The solution x < -3 or x > 1 represents all real numbers that are either less than -3 or greater than 1.

Front

What is the maximum score on a test represented by the inequality p ≤ 95?

Back

The inequality p ≤ 95 indicates that the score p can be any value up to and including 95.

Front

How do you graph the inequality x < -3?

Back

To graph x < -3, draw a number line, place an open circle on -3 (indicating that -3 is not included), and shade to the left to show all values less than -3.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

In compound inequalities, 'and' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.