Understanding Inequalities and Equations

The video tutorial explains the principles of equations and inequalities, highlighting the key difference that inequalities require flipping the sign when multiplying or dividing by a negative number. It covers solving inequalities with negative variables and graphing them, using test points to verify solutions. The tutorial emphasizes the importance of maintaining true statements on both sides of an equation or inequality.

What happens to an equation if you add the same number to both sides?

• The equation becomes false.

• The equation remains true.

• The equation becomes undefined.

• The equation becomes an inequality.

If you divide both sides of an equation by a negative number, what happens?

• The equation remains true.

• The equation becomes an inequality.

• The equation becomes false.

• The equation becomes undefined.

What is the result of subtracting the same number from both sides of an equation?

• The equation becomes false.

• The equation remains true.

• The equation becomes an inequality.

• The equation becomes undefined.

What is the result of dividing both sides of an equation by a positive number?

• The equation becomes undefined.

• The equation becomes false.

• The equation becomes an inequality.

• The equation remains true.

What is the result of adding the same number to both sides of an inequality?

• The inequality becomes an equation.

• The inequality becomes undefined.

• The inequality remains true.

• The inequality becomes false.

What happens to an inequality if you subtract the same number from both sides?

• The inequality becomes an equation.

• The inequality remains true.

• The inequality becomes undefined.

• The inequality becomes false.

What happens to an inequality if you divide both sides by a positive number?

• The inequality remains true.

• The inequality becomes undefined.

• The inequality becomes false.

• The inequality becomes an equation.

When dividing both sides of an inequality by a negative number, what must you do?

• Subtract a constant from both sides.

• Add a constant to both sides.

• Flip the inequality sign.

• Keep the inequality sign the same.

What is the effect of multiplying both sides of an inequality by a negative number?

• The inequality becomes false.

• The inequality remains true.

• The inequality sign must be flipped.

• The inequality becomes undefined.

What is the effect of multiplying both sides of an equation by a negative number?

• The equation becomes false.

• The equation remains true.

• The equation becomes an inequality.

• The equation becomes undefined.