Solving One Variable Inequalities and Equations

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 ≥, then shade the appropriate direction.

Front

What is the first step in solving the inequality -10x + 5 ≥ 195?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What is the solution to the inequality -10x + 5 ≥ 195?

Back

x ≤ -19.

Front

For which inequality is x ≥ 4 a solution?

Back

x - 3 ≥ 1.

Front

What is the first step in solving the equation 2x + 10 = 22?

Back

Subtract 10 from each side.

Front

What is the solution to the equation 2x + 10 = 22?

Back

x = 6.

Front

What does it mean when x is greater than or equal to a number?

Back

It means x can be that number or any number larger than it.