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Chapter 1: Q5. (page 39)

5. Solve 2m-5-3m2m-5<5m+1. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

Short Answer

Expert verified

The solution set is0.44,鈭�.

The graph is:

Step by step solution

01

- State the definition of a variable.

A variable is a term that is used to represent an unknown value.

02

- Solve the inequality.

Here, the inequality is:

2m-5-32m-5<5m+1

Simplify the inequality as shown below:

2m鈭�5鈭�32m鈭�5<5m+12m鈭�10鈭�6m+15<5m+1鈭�4m+5<5m+1鈭�4m+5+4m<5m+1+4m

Now, subtract 1 from both sides,

鈭�4m+5+4m<5m+1+4m5鈭�1<9m+1鈭�14<9mm>0.44

The solution set using interval notation is: 0.44,鈭�.

03

- Graph the solution set.

The solution set is: 0.44,鈭�.

Therefore, the graph of the solution set is:

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