Learn how to solve a compound inequality by separating into two inequalities

The video tutorial explains how to solve and graph compound inequalities. It begins by introducing the concept and suggests solving each inequality separately. The tutorial then demonstrates graphing the solutions on a number line and testing points to verify the solution. The process is summarized at the end, emphasizing the importance of understanding the steps involved in solving compound inequalities.

What is the first step in solving compound inequalities according to the method described?

• Graph the solution immediately.

• Convert all numbers to decimals.

• Cover one side of the inequality and solve.

• Solve both inequalities simultaneously.

When solving the inequality 5X < 9, what is the decimal equivalent of the fraction 9/5?

• 2.0

• 1.8

• 1.7

• 1.5

Why is it useful to convert fractions to decimals when solving inequalities?

• Decimals are easier to graph on a number line.

• It simplifies the calculation process.

• Fractions are not allowed in inequalities.

• Decimals are more accurate than fractions.

What should you do if a test point on the number line does not satisfy the inequality?

• Recalculate the inequality.

• Change the inequality sign.

• Exclude it from the solution set.

• Include it in the solution set.

Which of the following points would satisfy the compound inequality X > 1 and X < 1.8?

• 1.0

• 2.0

• 1.5

• 0.5