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Chapter 2: Q.344 (page 184)

Translate to an inequality and solve. Then graph the solution on the number axis and write the solution in interval notation:

Nineteen less than b is at most -22.

Short Answer

Expert verified

b鈮�-3

(-鈭�,-3)

Step by step solution

01

Step 1. Given information

The given statement is "Nineteen less than b is at most -22"

02

Step 2. Explaining the meaning of Terms.

"At most" means the largest possible value that can be included in the set and represent by the symbol鈮�.

03

Step 3. Convert the statement into inequality 

Nineteen less than b can be written as:

b-19

Nineteen less b at most -22can be written as:

b-19鈮�-22

04

Step 4. Solve the inequality and graph the solution

b-19鈮�-22b鈮�-3

The graph of the inequality is shown:

In interval notation, the solution can be written as:

(-鈭�,-3)

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