Math Problem Statement

q/2<5

Solution

To solve the inequality:

q2<5\frac{q}{2} < 5

Multiply both sides by 2 to isolate qq:

q<10q < 10

So, the solution is q<10q < 10.

Would you like further details or have any questions?

Here are 5 related questions to explore this concept further:

  1. What happens if you reverse the inequality sign in q2>5\frac{q}{2} > 5?
  2. How do you solve q3<7\frac{q}{3} < 7?
  3. What is the solution to q+12<6\frac{q+1}{2} < 6?
  4. How would you solve 2q34\frac{2q}{3} \geq 4?
  5. What is the solution to q2<5-\frac{q}{2} < 5?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Linear Equations

Formulas

Multiply both sides by 2 to isolate q

Theorems

Basic inequality manipulation rules

Suitable Grade Level

Grades 6-8