Exploring Adding and Subtracting Rational Expressions

What type of circle is used to graph the inequality x > 5?

• Open circle

• Half-filled circle

• Closed circle

• No circle

How do you represent x ≤ -2 on a number line?

• Open circle on -2, arrow to the right

• Closed circle on -2, arrow to the left

• Open circle on -2, arrow to the left

• Closed circle on -2, arrow to the right

If a graph shows an open circle on 3 and an arrow pointing left, which inequality does it represent?

• x ≥ 3

• x > 3

• x ≤ 3

• x < 3

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

• Flip it

• Remove it

• Double it

• Keep it the same

Solve and graph the inequality: 3x < -6. What is the solution?

• x ≤ -2

• x ≥ -2

• x > -2

• x < -2

What is the solution to the inequality -7x ≤ -7 after dividing both sides by -7?

• x > 1

• x ≤ 1

• x ≥ 1

• x < 1

When solving the inequality x/6 > -3, what is the next step after subtracting 2 from both sides?

• Subtract 6 from each side

• Add 6 to each side

• Divide each side by 6

• Multiply each side by 6

What is the solution to the inequality -2x ≤ 24 after dividing both sides by -2?

• x ≥ -12

• x ≤ -12

• x > -12

• x < -12

How do you graph the solution to the inequality x > -7?

• Closed circle on -7, arrow to the left

• Closed circle on -7, arrow to the right

• Open circle on -7, arrow to the left

• Open circle on -7, arrow to the right

What is the solution to the inequality -1/3x > 7 after multiplying both sides by the reciprocal?

• x > -21

• x ≥ -21

• x < -21

• x ≤ -21