Math Problem Statement

Select the values that make the inequality d ≥ -7 true (Numbers written in order from least to greatest going across).

Solution

The question is asking to select the values that make the inequality d7d \geq -7 true.

This inequality means that dd must be greater than or equal to 7-7. Therefore, all numbers that are 7-7 or larger will satisfy the inequality.

Looking at the list of possible values, the ones that are 7-7 or larger are:

  • 7-7
  • 6.999-6.999
  • 6.9-6.9
  • 6-6
  • 4-4
  • 2-2
  • 11

These values satisfy the inequality d7d \geq -7.

Would you like any additional details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. What happens if we change the inequality to d>7d > -7?
  2. How do you graph inequalities on a number line?
  3. What are the rules for solving inequalities involving multiplication or division by negative numbers?
  4. How do inequalities change when both sides are multiplied by the same number?
  5. What is the difference between "greater than" and "greater than or equal to"?

Tip: When solving inequalities, remember that flipping the inequality sign occurs only when you multiply or divide both sides by a negative number.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line

Formulas

d ≥ -7

Theorems

Properties of inequalities
Number line representation

Suitable Grade Level

Grades 6-8