Solving and Graphing Inequalities with Multiplication & Division

What happens when you multiply or divide both sides of an inequality by a positive number?

• The inequality symbol reverses.

• The inequality remains equivalent.

• The inequality symbol changes to an equal sign.

• The inequality becomes invalid.

What is the result of multiplying an inequality by 2 on both sides?

• The inequality doubles in value.

• The inequality becomes an equation.

• The inequality remains equivalent.

• The inequality symbol reverses.

In the context of inequalities, what does it mean to have an 'open circle' on a number line?

• The number is included in the solution set.

• The number is not included in the solution set.

• The inequality symbol is reversed.

• The inequality is invalid.

What does a 'closed circle' on a number line indicate in inequality solutions?

• The number is not included in the solution set.

• The inequality becomes an equation.

• The number is included in the solution set.

• The inequality symbol is reversed.

When dividing both sides of an inequality by a negative number, what must you do to maintain the inequality's truth?

• Multiply by the same negative number again.

• Do nothing; the inequality remains true.

• Reverse the direction of the inequality symbol.

• Convert the inequality to an equation.

How do you solve an inequality where the variable is multiplied by -3?

• Add 3 to both sides of the inequality.

• Divide by -3 and reverse the inequality symbol.

• Multiply by -3 and reverse the inequality symbol.

• Divide by 3 without changing the inequality symbol.

What is the correct approach to solve -2x < 4?

• Add 2x to both sides without changing the symbol.

• Divide by -2 and reverse the inequality symbol.

• Multiply by -2 and reverse the inequality symbol.

• Divide by -2 and keep the inequality symbol.

If you're solving an inequality and you divide by a negative number, what must you remember to do?

• Reverse the direction of the inequality symbol.

• Subtract the number from both sides.

• Add the same number to both sides.

• Convert the inequality into an equation.

If you earn $9.50 per hour, how many hours must you work to buy a camera costing $247?

• At least 24 hours

• At least 27 hours

• At least 25 hours

• At least 26 hours

To afford a $247 camera with a wage of $9.50 per hour, how many hours are needed?

• More than 25 hours

• Exactly 26 hours

• Less than 27 hours

• At least 26 hours