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Chapter 2: Q333. (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation:

-218y鈮�-1528

Short Answer

Expert verified

y鈮�1049

[1049,鈭�)

Step by step solution

01

Step 1. Given information.

The following inequality is given:

-218y鈮�-1528

02

Step 2. Solving the inequality.

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

-56脳218y鈮�-56脳1528-147y鈮�-30

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

-147y-147鈮�-30-147y鈮�1049

03

Step 3. Graphing the solution on the number line.

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

04

Step 4. Write the solution in the interval notation.

In the interval notation, the solution can be written as

[1049,鈭�)

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