4.10 Practice- Writing Equations with Variables on Both Sides

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 equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation.

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to get 3x < 15.

Front

If x + 4 > 10, what is the value of x?

Back

x > 6.

Front

How do you graph the inequality x < 3 on a number line?

Back

Draw an open circle at 3 and shade to the left.

Front

What is the solution to the inequality 2x - 4 ≥ 10?

Back

x ≥ 7.