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91Ó°ÊÓ

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

Fifteen less than a is at least −7 .

Short Answer

Expert verified

a≥8

(8,∞)

Step by step solution

01

Step 1. Given information 

The given statement is ". Fifteen less than a is at least −7".

02

Step 2. Explaining the meaning of Terms. 

"At least" means the smallest possible value that can be included in the set and represent by the symbol≥

03

Step 3. Convert the statement into inequality 

Fifteen less than acan be written as:

a-15

Fifteen less than a at least -7can be written as:

a-15≥-7

04

Step 4. Solve the inequality and graph the solution 

a-15≥-7a≥8

The graph of the solution is shown:

In interval notation, the solution can be written as:

(8,∞)

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