Math Problem Statement

Write the sentence as an inequality: Four is no less than the quotient of a number x and 2.1.

Solution

The sentence provided is:

"Four is no less than the quotient of a number xx and 2.1."

To write this as an inequality:

  • "Four is no less than" indicates that the number 4 is greater than or equal to the other expression.
  • "The quotient of a number xx and 2.1" means x2.1\frac{x}{2.1}.

Thus, the inequality would be:

4x2.14 \geq \frac{x}{2.1}

This is the inequality that represents the sentence.

Would you like further details or have any questions about this?

Here are five related questions to expand on this topic:

  1. How do you solve the inequality 4x2.14 \geq \frac{x}{2.1}?
  2. What happens if you reverse the inequality?
  3. How would the inequality change if "no less than" were replaced with "greater than"?
  4. Can you graph the solution of 4x2.14 \geq \frac{x}{2.1}?
  5. How would this inequality change if the number 2.1 were replaced with another number?

Tip: Inequalities often involve reversing the inequality symbol when you multiply or divide both sides by a negative number.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Inequality formula: a ≥ b
Quotient formula: a ÷ b

Theorems

Properties of inequalities
Division of inequalities

Suitable Grade Level

Grades 6-8