Math Problem Statement

Solve d + 7 ≥ 5

Solution

To solve the inequality d+75d + 7 \geq 5, follow these steps:

  1. Isolate dd on one side: Subtract 77 from both sides of the inequality: d+7757d + 7 - 7 \geq 5 - 7

  2. Simplify: d2d \geq -2

Final Answer:

d2d \geq -2

This means that dd can be any value greater than or equal to 2-2.


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Related Questions:

  1. How do you solve inequalities with variables on both sides?
  2. How would this solution look on a number line?
  3. What happens if the inequality sign is reversed (e.g., \leq instead of \geq)?
  4. How do you solve d+7>5d + 7 > 5 (strict inequality)?
  5. How do inequalities change when multiplying/dividing by negative numbers?

Tip:

Always remember that when multiplying or dividing an inequality by a negative number, the inequality sign reverses!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Algebra

Formulas

Isolate the variable by addition/subtraction in inequalities

Theorems

Basic properties of inequalities

Suitable Grade Level

Grades 6-8