Solving Rational Number Inequalities

What is the first step in solving an inequality using multiplication or division?

• Subtract the same number from both sides

• Isolate the variable on one side

• Multiply both sides by zero

• Add the same number to both sides

What happens to the inequality when you multiply both sides by a positive number?

• The inequality becomes false

• The variable disappears

• The inequality remains true

• The inequality symbol switches

If you divide both sides of an inequality by a positive number, what happens?

• The inequality symbol switches

• The inequality remains true

• The inequality becomes false

• The variable disappears

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

• Switch the inequality symbol

• Subtract the same number from both sides

• Add the same number to both sides

• Multiply both sides by zero

In the example 5x ≤ -20, what operation is used to isolate x?

• Multiplication

• Addition

• Division

• Subtraction

In the example -2/3W ≥ 16, what is the reciprocal of -2/3?

• -2/3

• 3/2

• -3/2

• 2/3

In the example -4/5 < -4y, what operation is used to isolate y?

• Subtraction

• Division

• Addition

• Multiplication

When graphing the solution x ≤ -4, what type of circle is used at -4?

• No circle

• Closed circle

• Double circle

• Open circle

In the example C/-2 < 5.4, what is the result of multiplying both sides by -2?

• C < 10.8

• C < -10.8

• C > 10.8

• C > -10.8

When graphing the solution y < 1/5, what type of circle is used at 1/5?

• Double circle

• No circle

• Closed circle

• Open circle