Chapter 2: Q. 330 (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$23 p - 2 (6 - 5 p) > 3 (11 p - 4)$

Short Answer

Expert verified

Contradiction

No solution

Step by step solution

Step 1. Given information.

The following inequality is given

$23 p - 2 (6 - 5 p) > 3 (11 p - 4)$

Step 2. Solving the inequality.

Distributing and combining like terms

$23 p - 12 + 10 p > 33 p - 12 33 p - 12 > 33 p - 12$

Adding 12 to both sides

$33 p > 33 p$

Dividing both sides by $p$

$\frac{33 p}{p} > \frac{33 p}{p} 33 > 33$

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

Step 3. Graphing the solution on the number line.

Since the inequality does not have any solution, no graph of the solution can be plotted on the number line.

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.
$23 p - 2 (6 - 5 p) > 3 (11 p - 4)$

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.23p-26-5p>311p-4

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

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$23 p - 2 (6 - 5 p) > 3 (11 p - 4)$