Inequalities and Number Line Representation

The video tutorial explains how to solve the inequality 6 + 5 ≤ 11 by isolating the variable X. It demonstrates subtracting 5 from both sides and dividing by 6 to find X ≤ 1. The tutorial then compares two number lines to determine which correctly represents the solution, emphasizing the use of closed circles for 'less than or equal to' scenarios.

What is the first step in solving the inequality 6x + 5 ≤ 11?

• Divide both sides by 6

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 6

After subtracting 5 from both sides of the inequality 6x + 5 ≤ 11, what is the resulting inequality?

• 6x ≤ 1

• 6x ≤ 11

• 6x ≤ 6

• 6x ≤ 16

What operation is performed to isolate x in the inequality 6x ≤ 6?

• Multiply both sides by 6

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 6

What is the solution to the inequality 6x ≤ 6?

• x ≤ 6

• x ≤ 1

• x ≥ 6

• x ≥ 1

Which number line correctly represents the solution x ≤ 1?

• Number line with an open circle at 0

• Number line with a closed circle at 0

• Number line with a closed circle at 1

• Number line with an open circle at 1

What does an open circle on a number line indicate?

• The value is included in the solution

• The value is not included in the solution

• The value is greater than the solution

• The value is less than the solution

What type of circle is used on a number line to indicate that a value is part of the solution?

• Dotted circle

• Closed circle

• Open circle

• Shaded circle