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 significance of collecting like terms in solving inequalities?

• It simplifies the equation

• It makes the variable positive

• It helps isolate the variable

• All of the above

Why might a solution to an inequality be written with the variable first?

• It is a standard convention

• It makes it easier to understand

• It is required by the rules of mathematics

• None of the above