Learn how to solve a two step inequality with a fraction

The video tutorial covers solving equations with fractions, focusing on eliminating fractions by multiplying, using reciprocal multiplication, and graphing solutions. The instructor explains the importance of flipping inequality symbols when multiplying or dividing by negative numbers and provides a step-by-step guide to solving and graphing inequalities.

Why do fractions appear in equations according to the teacher?

• Because 4 does not evenly divide into 1.

• Because they are a part of every equation.

• Because fractions are easier to solve.

• Because they make equations more complex.

What is the first step to eliminate fractions in an equation?

• Multiply everything by the denominator.

• Add a constant to both sides.

• Divide everything by the numerator.

• Subtract the fraction from both sides.

When solving inequalities, what must you remember when multiplying or dividing by a negative number?

• Keep the inequality sign the same.

• Subtract the number from both sides.

• Flip the inequality sign.

• Add the same number to both sides.

What is the purpose of graphing the solution of an inequality?

• To find the exact value of the variable.

• To simplify the inequality.

• To check if the solution is correct.

• To visualize the range of possible solutions.

How do you determine if a point on a graph is open or closed?

• By the color of the point.

• By the position of the number on the graph.

• By the size of the number.

• By checking if the inequality is strict or not.

What does the teacher suggest about the direction of the inequality symbol?

• It always points to the larger number.

• It indicates the direction of the solution on the number line.

• It should be ignored when graphing.

• It is irrelevant to the solution.

What analogy does the teacher use to explain negative numbers?

• Negative numbers are like debts.

• Negative numbers are like savings.

• Negative numbers are like expenses.

• Negative numbers are like profits.