Math Problem Statement

x+6<6

Solution

To solve the inequality x+6<6x + 6 < 6:

  1. Subtract 6 from both sides: x+66<66x + 6 - 6 < 6 - 6 Simplifying both sides: x<0x < 0

So, the solution is x<0x < 0.

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions to explore:

  1. How do you solve x43x - 4 \leq 3?
  2. What happens if the inequality is x+6>6x + 6 > 6 instead?
  3. Can you solve 2x+6<102x + 6 < 10?
  4. How do you represent x<0x < 0 on a number line?
  5. What are the key differences between solving inequalities and equations?

Tip: When solving inequalities, if you multiply or divide both sides by a negative number, remember to flip the inequality sign.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Subtract constant from both sides: x + a < b → x < b - a

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8