Chapter 2: Q327. (page 184)

Solve the inequality, graph the solution on the number line and write the solution in the interval notation.
$12 v + 3 (4 v - 1) \leq 19 (v - 2) + 5 v$

Short Answer

Expert verified

Contradiction

No solution

Step by step solution

Step 1. Given information.

The following inequality is given

$12 v + 3 (4 v - 1) \leq 19 (v - 2) + 5 v$

Step 2. Solving the inequality.

Distributing and combining like terms

$12 v + 12 v - 3 \leq 19 v - 38 + 5 v 24 v - 3 \leq 24 v - 38$

Subtracting $24 v$ from both sides

$24 v - 3 - 24 v \leq 24 v - 38 - 24 v - 3 \leq - 38$

The statement is false. The inequality is a contradiction and there is no solution.

Step 3. Graphing the inequality on the number line.

Since the inequality does not have a solution, the solution cannot be plotted on the number line

Step 4. Writing the solution in the interval notation.

The inequality does not have any solution.

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Solve the inequality, graph the solution on the number line and write the solution in the interval notation.
$12 v + 3 (4 v - 1) \leq 19 (v - 2) + 5 v$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graphing the inequality on the number line.

Step 4. Writing the solution in the interval notation.

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Solve the inequality, graph the solution on the number line and write the solution in the interval notation.12v+34v-1≤19v-2+5v

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graphing the inequality on the number line.

Step 4. Writing the solution in the 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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Probability and Statistics

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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 the interval notation.
$12 v + 3 (4 v - 1) \leq 19 (v - 2) + 5 v$