CA 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

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that represents the solution set.

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 difference between 'and' and 'or' in compound inequalities?

Back

In 'and' inequalities, both conditions must be true simultaneously. In 'or' inequalities, at least one condition must be true.

Front

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

Back

The first step is to subtract 49x from both sides to simplify the inequality.

Front

What is the solution to the inequality 10a + 5b = 20 for b?

Back

Front

How do you set up an inequality for a cost comparison?

Back

Identify the costs involved and set up an inequality that represents the relationship between them.