Exploring Writing Inequalities

The video tutorial covers Unit 5, Topic 4 on writing inequalities. It begins with an introduction to translating verbal statements into algebraic inequalities, followed by a detailed explanation of inequality signs and common phrases associated with them. The instructor provides examples and practice problems to help students understand how to write and solve inequalities. The tutorial also includes steps for solving inequalities and graphing the solutions. Finally, advanced practice problems are presented for students to solve independently, with a review of the solutions provided.

Which of the following phrases corresponds to the 'greater than' inequality sign?

• Exceeds

• No more than

• At most

• Below

How would you represent the statement 'a number is at most 15' as an inequality?

• x ≤ 15

• x < 15

• x > 15

• x ≥ 15

What does the term 'sum' indicate in an inequality problem?

• Subtraction

• Multiplication

• Addition

• Division

Translate the statement 'the quotient of a number and -2 is greater than or equal to 10' into an inequality.

• n + 2 ≥ 10

• n - 2 ≥ 10

• n / -2 ≥ 10

• n * -2 ≥ 10

If 4 less than a number is at least -6, which inequality represents this statement?

• n - 4 ≥ -6

• n + 4 ≤ -6

• n - 4 ≤ -6

• n + 4 ≥ -6

What is the inequality for 'three times a number is more than -17'?

• 3n ≤ -17

• 3n ≥ -17

• 3n > -17

• 3n < -17

How would you solve the inequality 2n + 4 ≥ 16?

• n ≤ 12

• n ≥ 12

• n ≤ 6

• n ≥ 6

What is the solution to the inequality x/2 - 6 ≥ 10?

• x ≥ 16

• x ≤ 32

• x ≤ 16

• x ≥ 32

If 3x < 4, what is the value of x?

• x > 1.33

• x > 1

• x < 1

• x < 1.33

Which inequality represents 'twice a number less than 20 is at most 10'?

• 20 + 2x ≤ 10

• 20 - 2x ≤ 10

• 20 + 2x ≥ 10

• 20 - 2x ≥ 10