Algebra 1 Unit 1 - 3 Review

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What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities using the words 'and' or 'or'. For example, -2 ≤ y < 3 is a compound inequality.

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How do you determine if a number is a solution to an inequality?

Back

To determine if a number is a solution to an inequality, substitute the number into the inequality and check if the resulting statement is true.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than', indicating that the value on the left is strictly greater than the value on the right.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

How do you solve an absolute value inequality?

Back

To solve an absolute value inequality, split it into two separate inequalities: one for the positive case and one for the negative case, then solve each inequality.

Front

What is the process for solving linear equations?

Back

To solve linear equations, isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.

Front

What does it mean for a solution to be 'not a solution' to an inequality?

Back

A solution is 'not a solution' to an inequality if substituting it into the inequality does not result in a true statement.

Front

What is the significance of the solution set in inequalities?

Back

The solution set of an inequality represents all the values that satisfy the inequality, often expressed in interval notation or graphically.

Front

How do you graph a compound inequality?

Back

To graph a compound inequality, first graph each inequality on the number line, then combine the results, shading the appropriate regions.