Solving 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 the values of the variable that make the inequality true.

Front

What is the solution to the inequality 8m - 9 > 71?

Back

m > 10.

Front

How do you represent the solution of an inequality on a number line?

Back

You use an open circle for < or > and a closed circle for ≤ or ≥, and shade the appropriate direction.

Front

What is the equation for the word problem: You bought a magazine for $5 and four erasers for a total of $25?

Back

5 + 4e = 25.

Front

What is the inequality that represents Jeff's spending on hot dogs and water?

Back

3h + 2 ≤ 14.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to'.

Front

What is the solution to the inequality -6(4x + 6) > -108?

Back

x < 3.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.