Writing Inequalities from Number Lines

The video tutorial introduces inequalities, explaining the symbols used to compare unequal values. It covers the representation of inequalities on number lines, focusing on open and closed circles. The tutorial includes examples and practice problems to help students understand how to interpret and solve inequalities using number lines.

What does an open circle on a number line represent?

• A value that is less than the number

• A value that is greater than the number

• A value that is not included in the inequality

• A value that is exactly equal to the number

What does a closed circle on a number line indicate?

• The number is not included in the range

• The number is exactly equal and included in the range

• The range starts after the number

• The range ends before the number

In the context of inequalities, what does 'greater than or equal to' symbolize?

• A ray moving to the right on the number line

• An open circle on the number line

• A closed circle on the number line

• A ray moving to the left on the number line

How is 'less than or equal to' visually represented on a number line?

• With an open circle and a ray moving to the left

• With a closed circle and a ray moving to the right

• With a closed circle and a ray moving to the left

• With an open circle and a ray moving to the right

If a ray on the number line moves to the left of 5, what inequality does it represent?

• x is less than 5

• x is greater than or equal to 5

• x is less than or equal to 5

• x is greater than 5

What does a ray moving to the left of a number on a number line typically indicate?

• The values are greater than the number

• The values are less than the number

• The values are exactly equal to the number

• The values include all numbers except the number

What inequality is represented by a closed circle at 4 with a ray moving to the right?

• x < 4

• x > 4

• x ≤ 4

• x ≥ 4

What inequality is shown by a closed circle at 2 and a ray moving to the left?

• x < 2

• x > 2

• x ≤ 2

• x ≥ 2

If the number line shows an open circle at -7 and the ray moves to the right, what is the inequality?

• x < -7

• x > -7

• x ≤ -7

• x ≥ -7

If a number line has an open circle at 79 and the ray moves to the left, what does it signify?

• x < 79

• x > 79

• x ≤ 79

• x ≥ 79