Chapter 2: Q.345 (page 184)

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

$a \geq 8$

$(8, \infty)$

Step by step solution

Step 1. Given information

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

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 $\geq$

Step 3. Convert the statement into inequality

Fifteen less than $a$ can be written as:

$a - 15$

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

$a - 15 \geq - 7$

Step 4. Solve the inequality and graph the solution

$a - 15 \geq - 7 a \geq 8$

The graph of the solution is shown:

In interval notation, the solution can be written as:

$(8, \infty)$

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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

Step by step solution

Step 1. Given information

Step 2. Explaining the meaning of Terms.

Step 3. Convert the statement into inequality

Step 4. Solve the inequality and graph the solution

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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

Step by step solution

Step 1. Given information

Step 2. Explaining the meaning of Terms.

Step 3. Convert the statement into inequality

Step 4. Solve the inequality and graph the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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 .