Chapter 3: Q. 27 (page 151)

Solve the inequality. Graph your solution.
$3 y - 5 < 2 (17 - 5 y)$

Short Answer

Expert verified

Solution of the inequality is $y < 3$ .

Step by step solution

Step 1. Solve the inequality

$3 y - 5 < 2 (17 - 5 y)$

Use the distributive property.

$3 y - 5 < 34 - 10 y$

Add 5 and 10y on both the sides.

$\begin{matrix} 3 y - 5 + 5 + 10 y < 34 - 10 y + 10 y + 5 \\ 13 y < 39 \end{matrix}$

Divide both sides by 13.

$\begin{matrix} y < \frac{39}{13} \\ y < 3 \end{matrix}$

Step 2. Graph the inequality

The solution of the inequality is $y < 3$ .

That means, all values $y < 3$ satisfy the inequality. So, the graph can be given as shown below.

Step 3. Check the solution

To check the solution, take any random number, $y < 3$ and substitute in the original inequality and observe the result.

Take $b = 0$ .

Then,

$\begin{matrix} 3 \times 0 - 5 < 2 (17 - 5 \times 0) \\ 0 - 5 < 2 (17 - 0) \\ - 5 < 34 \end{matrix}$

The result $- 5 < 34$ is true. So, the solution $y < 3$ is correct.

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Solve the inequality. Graph your solution.
$3 y - 5 < 2 (17 - 5 y)$

Short Answer

Step by step solution

Step 1. Solve the inequality

Step 2. Graph the inequality

Step 3. Check the solution

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Solve the inequality. Graph your solution.3y-5<2(17-5y)

Short Answer

Step by step solution

Step 1. Solve the inequality

Step 2. Graph the inequality

Step 3. Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph your solution.
$3 y - 5 < 2 (17 - 5 y)$