CA #2 Solving Inequalities and Literal Equations Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

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

Back

In compound inequalities, 'and' means both conditions must be true (joined together), while 'or' means at least one condition must be true (opposite directions).

Front

How do you graph a solution to an inequality?

Back

To graph a solution to an inequality, use a number line and shade the region that represents the solution set. Use open circles for < or > and closed circles for ≤ or ≥.

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, use inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step in solving the inequality 54x + 64 ≥ 49x + 59?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

The solution is x ≥ -10.

Front

How do you solve the inequality 3(x - 2) < 2(x + 9)?

Back

Distribute and simplify to find x < 24.