Mastering Graph Inequalities with Negatives

What is the primary goal when solving inequalities?

• To maintain a true statement

• To find the exact value of the variable

• To eliminate the variable

• To make both sides equal

When solving inequalities, what must you do to both sides?

• Add the same number

• Subtract the same number

• Multiply by the same number

• Perform the same operation

What happens to the inequality when you add the same number to both sides?

• The inequality symbol changes

• The inequality symbol reverses

• The inequality remains true

• The inequality becomes false

If you subtract the same number from both sides of an inequality, what is the result?

• The inequality symbol reverses

• The inequality remains true

• The inequality symbol changes

• The inequality becomes false

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Reverse the inequality symbol

• Keep the inequality symbol the same

Why is it necessary to reverse the inequality symbol when multiplying or dividing by a negative number?

• To eliminate the variable

• To simplify the inequality

• To make the inequality false

• To maintain the truth of the inequality

In the problem where the variable is on the right, what is the first step to isolate the variable?

• Divide both sides by a positive number

• Multiply both sides by a negative number

• Subtract the constant from both sides

• Add a positive number to both sides

When solving the inequality -8 < -2x, what operation is needed to isolate x?

• Divide both sides by -2

• Multiply both sides by -2

• Add 2 to both sides

• Subtract 2 from both sides

In the inequality 4 - n/2 > 1, what is the first step to isolate the variable n?

• Subtract 4 from both sides

• Divide both sides by 2

• Add 4 to both sides

• Multiply both sides by 2

When graphing the solution to an inequality, when do you use an open circle?

• When the inequality includes 'less than'

• When the inequality includes 'less than or equal to'

• When the inequality includes 'greater than or equal to'

• When the inequality includes 'greater than'