Regents Exam: Algebra I August 2016 (Problem 7 of 37)

The video tutorial explains how to solve the inequality 2H + 8 > 3H - 6. It covers the process of solving inequalities similarly to equations by isolating the variable, collecting like terms, and ensuring the variable is positive. The tutorial emphasizes flipping the inequality symbol when multiplying or dividing by a negative number. The solution is presented as H < 14, which can also be expressed as 14 > H. The video also discusses how answer options may appear in different forms.

What is the first step in solving the inequality 2H + 8 > 3H - 6?

• Subtract 8 from both sides

• Add 8 to both sides

• Multiply both sides by 2

• Divide both sides by 3

When solving inequalities, what must you remember to do if you multiply or divide by a negative number?

• Add the same number to both sides

• Keep the inequality symbol the same

• Subtract the same number from both sides

• Flip the inequality symbol

What is the solution to the inequality after simplifying and flipping the inequality symbol?

• H equals 14

• H is greater than 14

• H is less than 14

• H is not equal to 14

How can the solution 'H is less than 14' be alternatively written?

• H is equal to 14

• H is greater than 14

• 14 is less than H

• 14 is greater than H

Why might an answer choice appear different from what you expect?

• It uses a different variable

• It is written in an alternative form

• It is incorrect

• It is written in a different language