#62 Multiply and Divide Inequalities

Front

What is the solution to the inequality 6x ≤ 24?

Back

x ≤ 4.

Front

How do you graph the solution of an inequality?

Back

You represent the solution on a number line, using an open circle for < or > and a closed circle for ≤ or ≥.

Front

What is the result of solving the inequality 10 ≤ x / -2?

Back

x ≥ -20.

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 solution to the inequality 2x > 12?

Back

x > 6.

Front

When solving the inequality x / -4 < -40, what must you remember about the inequality sign?

Back

You must flip the sign, resulting in x > 160.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To find all values of the variable that make the inequality true.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the endpoints, while a non-strict inequality (≤ or ≥) does.

Front

How do you check the solution of an inequality?

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.