Solving Linear Inequalities

The video tutorial explains the principles of multiplying and dividing inequalities, emphasizing the importance of using positive numbers to maintain the inequality's order. It provides examples to justify these rules and demonstrates solving inequalities through multiplication, division, and two-step methods. The tutorial highlights the consistent order of inequalities when using positive numbers and offers practical examples to illustrate these concepts.

What happens to an inequality when both sides are multiplied by a positive number?

• The inequality becomes invalid.

• The inequality becomes an equation.

• The inequality remains the same.

• The inequality reverses.

Why is multiplying or dividing by a negative number not covered in this lesson?

• It is too complex for this lesson.

• It does not affect inequalities.

• It is covered in a different subject.

• It is not relevant to inequalities.

If you multiply both sides of the inequality -2 < 3 by 2, what is the result?

• -4 < 6

• -4 > 6

• -4 = 6

• -4 < -6

What happens to the inequality -5 < -2 when both sides are multiplied by 2?

• -10 < -4

• -10 > -4

• -10 < 4

• -10 = -4

How do absolute values affect inequalities when multiplied or divided?

• They reverse the inequality.

• They do not affect the inequality.

• They change the order of the numbers.

• They make the inequality invalid.

What is the result of dividing both sides of the inequality 2x < 8 by 2?

• x < 4

• x > 4

• x = 4

• x < 2

What is the result of dividing both sides of the inequality 2x = 8 by 2?

• x = 8

• x = 0

• x = 4

• x = 2

What is the reciprocal of 2/3 when solving inequalities?

• 2/3

• 3/2

• 1/2

• 3

What is the result of multiplying both sides of the inequality 2/3x > 12 by 3/2?

• x > 12

• x = 18

• x < 18

• x > 18

What is the result of dividing both sides of the inequality 2x = 8 by 2?

• x = 8

• x = 0

• x = 2

• x = 4