Inequalities

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 the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you solve the inequality -4a ≤ -28?

Back

To solve -4a ≤ -28, divide both sides by -4. Remember to flip the inequality sign: a ≥ 7.

Front

What is the solution set of the inequality x < 2?

Back

The solution set of the inequality x < 2 includes all real numbers less than 2.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

Write an inequality for the situation: You have $25 to buy 6 fishing lures. What is the maximum price per lure?

Back

The inequality is 6x ≤ 25, where x is the price per lure.

Front

What does the number line represent for the inequality x > -2?

Back

The number line for x > -2 shows all numbers to the right of -2, not including -2 itself.

Front

What is the solution to the inequality 6x < 25?

Back

To solve 6x < 25, divide both sides by 6: x < rac{25}{6} or approximately x < 4.17.

Front

How do you graph the solution set of an inequality?

Back

To graph the solution set of an inequality, draw a number line and use an open circle for < or > and a closed circle for ≤ or ≥, shading the appropriate side.