Solving and graphing an inequality by multiplying by a fraction on one side ex 12

The video tutorial explains how to solve and graph an inequality involving fractions. It begins by addressing the challenge of having variables on both sides and within fractions. The instructor demonstrates eliminating fractions by multiplying through, applying the distributive property, and solving the inequality by isolating the variable. The importance of flipping the inequality sign when dividing by a negative number is highlighted. Finally, the solution is graphed on a number line, emphasizing understanding of negative values and larger numbers.

What is the first step the instructor takes to solve the inequality involving fractions?

• Divide by the coefficient of x

• Add fractions to both sides

• Multiply through by a common denominator

• Subtract fractions from both sides

After applying the distributive property, what is the next step in isolating the variable?

• Divide both sides by a constant

• Multiply both sides by a constant

• Subtract the same term from both sides

• Add the same term to both sides

When dividing by a negative number, what must you remember to do with the inequality sign?

• Multiply it by a constant

• Leave it unchanged

• Add a constant to it

• Flip it

In graphing the inequality, what does the instructor suggest about starting the graph?

• Always start at zero

• Start at the point of interest

• Start at the lowest value

• Start at the highest value

How does the instructor suggest thinking about negative values when graphing?

• As zero

• As owing money

• As fractions

• As positive values