Understanding Compound Inequalities

The video tutorial explains how to solve a compound inequality and express the solution using interval notation. It begins by defining compound inequalities and proceeds to solve the given inequalities step-by-step. The tutorial includes graphing the solution intervals and concludes with expressing the solution in interval notation, highlighting the importance of understanding both graphical and algebraic representations.

What is a compound inequality?

• An equation with two variables

• Two or more inequalities connected by 'and' or 'or'

• A single inequality with no conditions

• An equation with one variable

How can the given compound inequality be read?

• Only from right to left

• Only from left to right

• From both left to right and right to left

• It cannot be read in any direction

What is the first step in solving the inequality 2X - 5 > -1?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 2

• Divide both sides by 2

When graphing the solution for X > 2, what type of point is used on 2?

• Closed point

• Double point

• No point

• Open point

What is the solution for the inequality 2X ≤ 8?

• X < 4

• X > 4

• X ≥ 4

• X ≤ 4

How is the number 4 represented in the graph of the second inequality?

• With a closed point

• With an open point

• With a double point

• With no point

What is the interval notation for the solution of the compound inequality?

• (2, 4]

• [2, 4)

• (2, 4)

• [2, 4]

Which number is included in the final solution interval?

• 5

• 2

• 3

• 4

What does a rounded parenthesis in interval notation indicate?

• The number is not included in the interval

• The number is included in the interval

• The interval is infinite

• The interval is closed

How can the compound inequality be rewritten?

• With the variable in the middle

• With the variable on the right

• With no variable

• With the variable on the left