Exploring Adding and Subtracting Rational Expressions

This video tutorial covers solving inequalities using multiplication and division. It explains the properties of inequalities and provides step-by-step examples, including those with rational numbers, fractions, and decimals. The tutorial also demonstrates how to check if given values satisfy inequalities.

What does the multiplication property of inequality state?

• If you multiply both sides of an inequality by the same positive number, the inequality remains true.

• If you multiply both sides of an inequality by the same negative number, the inequality remains true.

• If you add the same number to both sides of an inequality, the inequality remains true.

• If you subtract the same number from both sides of an inequality, the inequality remains true.

What is the solution to the inequality 2x < 10?

• x ≤ 5

• x = 5

• x > 5

• x < 5

How do you graph the solution to the inequality x < 5?

• Open circle at 5, line to the right

• Closed circle at 5, line to the right

• Open circle at 5, line to the left

• Closed circle at 5, line to the left

What is the solution to the inequality 7a ≥ 63?

• a < 9

• a > 9

• a ≤ 9

• a ≥ 9

What is the solution to the inequality m/3 ≥ 8?

• m < 24

• m > 24

• m ≤ 24

• m ≥ 24

What is the solution to the inequality 0.8a < 20?

• a < 25

• a > 25

• a ≤ 25

• a ≥ 25

What is the solution to the inequality 4.75 ≤ k/1.6?

• k < 7.6

• k > 7.6

• k ≤ 7.6

• k ≥ 7.6

What is the solution to the inequality 2.5z ≥ 31.5?

• z < 12.6

• z ≥ 12.6

• z ≤ 12.6

• z > 12.6

Is 3 a solution to the inequality 4m ≤ 16?

• Yes, because 4 * 3 = 12 which is less than or equal to 16.

• No, because 4 * 3 = 12 which is not greater than 16.

• No, because 4 * 3 = 12 which is not less than or equal to 16.

• Yes, because 4 * 3 = 12 which is greater than 16.

Is 21 a solution to the inequality y/3 > 5?

• Yes, because 21/3 = 7 which is greater than 5.

• No, because 21/3 = 7 which is not greater than 5.

• No, because 21/3 = 7 which is not less than 5.

• Yes, because 21/3 = 7 which is less than 5.