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Chapter 2: Q320. (page 184)

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

8m-214-m鈮�7m-4+3m

Short Answer

Expert verified

Identity

-鈭�,鈭�

Step by step solution

01

Step 1. Given information

The following inequality is given

8m-214-m鈮�7m-4+3m

02

Step 2. Solving the inequality.

Distributing and combining like terms

8m-28+2m鈮�7m-28+3m10m-28鈮�10m-28

Subtracting 10mfrom both sides

10m-28-10m鈮�10m-28-10m-28鈮�-28

Since no variables are present and we have a true statement, inequality is an identity. The solution will be all real numbers.

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. Writing the solution in the interval notation.

The solution, in the interval notation, can be written as

-鈭�,鈭�

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