THURSDAY_Grade9_Activity

What does a hollow circle on a number line indicate when writing interval notation?

• The number is included in the solution.

• The number is not included in the solution.

• The number is an integer.

• The number is a boundary point.

When writing interval notation, which type of bracket is always used with infinity symbols (∞ or -∞)?

• Square brackets [ ]

• Curly braces { }

• Parentheses ( )

• Angle brackets < >

In interval notation, what does a solid (shaded) circle on a number line signify about the corresponding number?

• It is an excluded value.

• It is a positive integer.

• It is part of the solution set.

• It represents infinity.

What is the first step in solving a quadratic inequality?

• Locate the numbers on a number line.

• Choose a test point in each region.

• Express the inequality as a quadratic equation and solve for x.

• Substitute test points into the original inequality.

After solving for x in a quadratic inequality, what is the next step?

• Substitute the values of x into the original inequality.

• Graph the solution on a coordinate plane.

• Locate the numbers on a number line and divide it into regions.

• Factor the quadratic expression.

What are the critical points for the inequality x^2 - 6x + 5 < 0?

• x = 1 and x = 6

• x = -1 and x = -5

• x = 1 and x = 5

• x = -1 and x = 5

When graphing the solution set of an inequality on a number line, what does a hollow circle at a critical point indicate?

• The critical point is part of the solution.

• The critical point is not part of the solution.

• The inequality involves "greater than or equal to".

• The inequality involves "less than or equal to".

For the inequality x^2 - 6x + 5 < 0, which region on the number line represents the solution set?

• The region where x < 1

• The region where 1 < x < 5

• The region where x > 5

• The regions where x < 1 or x > 5

What is the interval notation for the solution set of x^2 - 6x + 5 < 0?

• [1, 5]

• (1, 5)

• (-infinity, 1] U [5, infinity)

• (-infinity, 1) U (5, infinity)

What are the critical points for the inequality x^2 - 2x - 8 >= 0?

• x = 4 and x = -2

• x = -4 and x = 2

• x = 8 and x = 1

• x = -8 and x = -1