Chapter 2: Q317. (page 183)

Solve the inequality. Graph the solution on the number line and write the solution in the interval notation.
$9 y + 5 (y + 3) < 4 y - 35$

Short Answer

Expert verified

$y < - 5$

$(- \infty, - 5)$

Step by step solution

Step 1. Given information.

The given inequality is

$9 y + 5 (y + 3) < 4 y - 35$

Step 2. Solving the inequality.

Distribute and combine like terms:

$9 y + 5 y + 15 < 4 y - 35$

$14 y + 15 < 4 y - 35$

Subtracting $4 y + 15$ from both sides and simplifying:

$14 y + 15 - 4 y - 15 < 4 y - 35 - 4 y - 15$

$10 y < - 50$

Diving both sides by 10 and simplifying:

$\frac{10 y}{10} < \frac{- 50}{10}$

$y < - 5$

The solution to the inequality is $y < - 5$

Step 3. Graphing the solution on the number line.

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

Step 4. Writing the solution in the interval notation.

The solution in the interval notation can be expressed as

$(- \infty, - 5)$

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Solve the inequality. Graph the solution on the number line and write the solution in the interval notation.
$9 y + 5 (y + 3) < 4 y - 35$

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 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.9y+5y+3<4y-35

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 the interval notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph the solution on the number line and write the solution in the interval notation.
$9 y + 5 (y + 3) < 4 y - 35$