Chapter 2: Q333. (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation:
$- \frac{21}{8} y \leq - \frac{15}{28}$

Short Answer

Expert verified

$y \geq \frac{10}{49}$

$[\frac{10}{49}, \infty)$

Step by step solution

Step 1. Given information.

The following inequality is given:

$- \frac{21}{8} y \leq - \frac{15}{28}$

Step 2. Solving the inequality.

Multiply both sides by LCM (56) to remove the fractions

$- 56 \times \frac{21}{8} y \leq - 56 \times \frac{15}{28} - 147 y \leq - 30$

Dividing both sides by -147 (this will reverse the inequality as the division is being performed by a negative number) and simplifying

$\frac{- 147 y}{- 147} \geq \frac{- 30}{- 147} y \geq \frac{10}{49}$

Step 3. Graphing the solution on the number line.

The graph of the solution on the number line is presented below:

Step 4. Write the solution in the interval notation.

In the interval notation, the solution can be written as

$[\frac{10}{49}, \infty)$

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Solve the inequality, graph the solution on the number line and write the solution in interval notation:
$- \frac{21}{8} y \leq - \frac{15}{28}$

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. Write 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 interval notation:-218y≤-1528

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. Write 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

Logic and Functions

Decision Maths

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Statistics

Study anywhere. Anytime. Across all devices.

Solve the inequality, graph the solution on the number line and write the solution in interval notation:
$- \frac{21}{8} y \leq - \frac{15}{28}$