Solving Inequalities: Multiplication and Division Techniques

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

• The inequality symbol reverses.

• The inequality remains unchanged.

• The inequality becomes an equation.

• The inequality symbol disappears.

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

• The inequality remains valid without changes.

• The inequality becomes invalid.

• The inequality symbol reverses.

• The inequality turns into an equation.

What must be done when dividing an inequality by a negative number?

• Multiply both sides by the same negative number.

• Leave the inequality as it is.

• Reverse the inequality symbol.

• Convert the inequality into an equation.

What does dividing an inequality by a positive number do to the inequality symbol?

• It reverses the symbol.

• It keeps the symbol unchanged.

• It changes the symbol to an equal sign.

• It removes the symbol.

When solving an inequality with a negative coefficient, what is crucial to remember?

• To subtract the coefficient from both sides.

• To multiply both sides by the coefficient.

• To add the coefficient to both sides.

• To reverse the inequality symbol after dividing.

How do you solve an inequality involving division by a negative number?

• By converting the inequality to an equation.

• By multiplying both sides by the negative number.

• By reversing the inequality symbol.

• By keeping the inequality symbol the same.

What is the correct approach to solve an inequality with multiplication by a negative number?

• Leave the inequality symbol unchanged.

• Reverse the inequality symbol.

• Convert the inequality into an equation.

• Multiply both sides by a positive number instead.

In solving inequalities, why is it necessary to reverse the inequality symbol when multiplying or dividing by a negative number?

• To maintain the inequality's original value.

• Because it's a mathematical convention.

• To ensure the inequality remains true.

• To simplify the inequality further.

When graphing an inequality solution on a number line, what does an open circle represent?

• A number not included in the solution set.

• The lowest value in the solution set.

• A number included in the solution set.

• The highest value in the solution set.

What is the significance of reversing the inequality symbol in the context of inequalities?

• It signifies the inequality is unsolvable.

• It is necessary when multiplying or dividing by a negative number.

• It is only done for aesthetic reasons.

• It indicates a mistake in calculation.