Math Problem Statement

in each question, first make an inequality and then solve the inequality can u do that

Solution

Absolutely! I can generate problems that first involve an inequality and then solve it step by step. Here’s an example to demonstrate how we can approach this:

Example Problem:

  1. Inequality: 3x5103x - 5 \geq 10

  2. Solving the Inequality:

    • Step 1: Add 5 to both sides to isolate the term with xx. 3x5+510+53x - 5 + 5 \geq 10 + 5 3x153x \geq 15

    • Step 2: Divide both sides by 3 to solve for xx. 3x3153\frac{3x}{3} \geq \frac{15}{3} x5x \geq 5

So the solution is x5x \geq 5.


Now I’ll give you a list of practice problems in a similar manner. Would you like me to create new problems for you to solve, or would you like me to explain further any part of the example?


Here are five practice problems for you to try:

  1. Solve: 4x794x - 7 \leq 9
  2. Solve: 2x+5>112x + 5 > 11
  3. Solve: 3x+8>2-3x + 8 > 2
  4. Solve: x4+36\frac{x}{4} + 3 \geq 6
  5. Solve: 2x68-2x - 6 \leq 8

Tip: Remember, when you divide by a negative number, you reverse the inequality sign!

Would you like to go through the steps for any of these problems?

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Math Problem Analysis

Mathematical Concepts

Inequalities
Algebra
Solving Inequalities

Formulas

Addition Property of Inequality
Multiplication/Division Property of Inequality

Theorems

Solving Linear Inequalities
Inequality Properties

Suitable Grade Level

Grades 7-9