Math Problem Statement

the sum of 5 and the twice a number is at most 27

Solution

The problem states: "The sum of 5 and twice a number is at most 27." Let's break it down into an inequality.

Let the unknown number be represented by xx.

  1. "Twice a number" means 2x2x.
  2. "The sum of 5 and twice a number" is represented as 5+2x5 + 2x.
  3. "At most 27" means it is less than or equal to 27.

Thus, we can write the inequality as: 5+2x275 + 2x \leq 27

Solving the inequality:

  1. Subtract 5 from both sides: 2x222x \leq 22
  2. Divide both sides by 2: x11x \leq 11

Thus, the number xx is at most 11.

Would you like more details or have any further questions?

Here are 5 related questions:

  1. What if the sum of 5 and three times a number is at most 30?
  2. How would the inequality change if it was "the sum of 5 and twice a number is at least 27"?
  3. Can you solve the inequality: 7+3x407 + 3x \leq 40?
  4. What if the inequality was 4+2x>164 + 2x > 16?
  5. How would you write the equation for "the difference of twice a number and 3 is less than 12"?

Tip: When solving inequalities, always reverse the inequality sign if you multiply or divide by a negative number.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Linear Equations

Formulas

5 + 2x ≤ 27

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8