Graphing Compound Inequalities on a Number Line

The video tutorial explains how to graph compound inequalities using 'or' and 'and' symbols. It covers solving and graphing three different compound inequalities, demonstrating how to handle each step, including moving terms, dividing, and interpreting the results on a number line. The tutorial emphasizes understanding the difference between 'or' and 'and' in inequalities and provides examples to illustrate these concepts.

What does the 'U' symbol represent in compound inequalities?

• Intersection

• Union

• Greater than

• Less than

What does the 'upside down U' symbol represent in compound inequalities?

• Union

• Intersection

• Greater than or equal to

• Less than or equal to

What is the solution for the inequality 3x < 3?

• x ≥ 1

• x > 1

• x ≤ 1

• x < 1

How is the inequality x < 1 represented on a number line?

• Closed circle at 1, shading to the right

• Open circle at 1, shading to the right

• Open circle at 1, shading to the left

• Closed circle at 1, shading to the left

What is the solution for the inequality 4x > 16?

• x ≥ 4

• x < 4

• x > 4

• x ≤ 4

How is the inequality x > 4 represented on a number line?

• Open circle at 4, shading to the left

• Closed circle at 4, shading to the left

• Closed circle at 4, shading to the right

• Open circle at 4, shading to the right

What is the simplified form of the inequality 5(x - 6) + 3x ≤ 18?

• 5x + 30 ≤ 18

• 8x + 30 ≤ 18

• 5x - 30 ≤ 18

• 8x - 30 ≤ 18

What is the solution for the inequality 8x - 30 ≤ 18?

• x ≤ 6

• x ≥ 6

• x > 6

• x < 6

What is the solution for the inequality -2x < 34?

• x ≤ -17

• x ≥ -17

• x < -17

• x > -17

What is the common solution for the inequalities -2x < 34 and 8x - 30 ≤ 18?

• -17 < x ≤ 6

• x < -17 or x > 6

• x ≤ -17 and x ≥ 6

• -17 ≤ x < 6