Exploring Writing Inequalities

This video tutorial introduces inequalities, explaining how to compare expressions using inequality symbols. It covers writing inequalities from word problems, identifying solutions, and graphing inequalities on a number line. The tutorial emphasizes understanding key terms like 'at most' and 'at least' and provides examples to illustrate these concepts.

What does an inequality compare?

• Expressions to determine their relationship

• Two numbers to determine which is smaller

• Expressions to determine which is greater

• Two equations to find their sum

What does the keyword 'at least' imply in an inequality?

• The value is less than a certain number

• The value is greater than or equal to a certain number

• The value is not equal to a certain number

• The value is exactly a certain number

Which symbol represents 'no more than'?

• <

• >

• ≤

• ≥

If 'c is less than 4', how would you write this as an inequality?

• c ≥ 4

• c > 4

• c < 4

• c = 4

What is a correct inequality for 'a number k + 5 is greater than or equal to 8'?

• k + 5 ≥ 8

• k + 5 > 8

• k + 5 < 8

• k + 5 = 8

Is the number 3 a solution to the inequality '3 + 4 < 6'?

• Insufficient information

• Yes

• Depends on the value of 4

• No

What does an open circle on a graph of an inequality indicate?

• The number at that point is not included in the solution

• The graph is discontinuous at that point

• The solution is undefined at that point

• The number at that point is included in the solution

How do you graph 'x is greater than 2' on a number line?

• Draw a closed circle at 2 and shade to the right

• Draw an open circle at 2 and shade to the left

• Draw a closed circle at 2 and shade to the left

• Draw an open circle at 2 and shade to the right

If x is less than or equal to -3, how is this represented on a graph?

• Open circle at -3, shading to the left

• Closed circle at -3, shading to the right

• Open circle at -3, shading to the right

• Closed circle at -3, shading to the left

What does the inequality '5 ≤ k' imply about the values of k?

• k is any number less than 5

• k is any number greater than or equal to 5

• k is any number greater than 5

• k is any number less than or equal to 5