Adding and Subtracting Rational Expressions

In the first example, what is the solution to the inequality 4x + 12 > -24?

• x > -9

• x > 9

• x < -9

• x < 9

How is the solution x > -9 represented in interval notation?

• (-∞, -9]

• (-∞, -9)

• [-9, ∞)

• (-9, ∞)

What do parentheses represent in interval notation?

• None of the above

• Included values

• Both included and excluded values

• Excluded values

When should you use a bracket in interval notation?

• For open circles

• For closed circles

• For infinity

• For negative infinity

In the third example, what is the combined term of 7x and -2x?

• 7x

• 3x

• 5x

• 9x

What is the solution to the inequality 5x - 8 ≤ -10?

• x ≤ 2

• x ≥ -2

• x ≥ 2

• x ≤ -2

In the fourth example, what is the result of combining -8x and -1x?

• -8x

• -7x

• -9x

• -10x

What is the solution to the inequality -9x + 8 ≤ -28?

• x ≤ -4

• x ≥ -4

• x ≤ 4

• x ≥ 4

In the seventh example, what is the result of distributing -1 to (2x - 7)?

• -2x + 7

• 2x + 7

• 2x - 7

• -2x - 7

What is the solution to the inequality 4x + 10 ≤ 34?

• x ≤ 6

• x ≥ 6

• x ≤ -6

• x ≥ -6