Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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 the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

What is the solution to the inequality 7x ≤ 10?

Back

x ≤ 10/7 or x ≤ 1.43.

Front

How do you represent 'x is greater than 3' on a number line?

Back

You use an open dot at 3 and shade to the right.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution (≥ or ≤).

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

What is the first step in solving the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the simplified form of the expression 6 + 2(7x - 3)?

Back

The simplified form is 14x.