Solving Equations and Inequaltities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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, or not equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the value(s) of the variable(s) that satisfy the inequality.

Front

What is the solution of the equation 2x = 10?

Back

x = 5.

Front

How do you isolate a variable in an equation?

Back

You perform operations to both sides of the equation to get the variable by itself on one side.

Front

What is the solution set of the inequality 15x > 120?

Back

x > 8.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 6 + h ≥ 12?

Back

Subtract 6 from both sides to get h ≥ 6.