Chapter 2: Q331. (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$18 q - 4 (10 - 3 q) < 5 (6 q - 8)$

Short Answer

Expert verified

Contradiction

No solution

Step by step solution

Step 1. Given information.

The following inequality is given

$18 q - 4 (10 - 3 q) < 5 (6 q - 8)$

Step 2. Solving the inequality.

Distribute and combine like terms

$18 q - 40 + 12 q < 30 q - 40 30 q - 40 < 30 q - 40$

Subtracting $30 q$ from both sides

$- 40 < - 40$

Since the statement is not true and no variables are present, the inequality is a contradiction and it has no solution.

Step 3. Graphing the solution on the number line.

Since the inequality has no solution, the graph of the solution on the number line does not exist.

Step 4. Writing the solution in interval notation.

The inequality has no solution.

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Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$18 q - 4 (10 - 3 q) < 5 (6 q - 8)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graphing the solution on the number line.

Step 4. Writing the solution in interval notation.

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Solve the inequality, graph the solution on the number line and write the solution in interval notation.18q-410-3q<56q-8

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graphing the solution on the number line.

Step 4. Writing the solution in interval notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$18 q - 4 (10 - 3 q) < 5 (6 q - 8)$