Math Problem Statement

Solve the following inequality for x.

A. x < -4 B. x ≤ 6 C. x < 7 D. x ≥ 8

Solution

To solve the inequality, the exact inequality equation is required. Since it is not specified in your query, I’ll outline a generic approach to solving inequalities and explain how each potential option relates to the solution:

  1. Step 1: Write the inequality.
    Example: ax+b<cax + b < c or ax+bcax + b \leq c, etc.

  2. Step 2: Isolate xx.

    • Subtract or add terms to simplify the inequality.
    • Divide or multiply by the coefficient of xx. (If you multiply or divide by a negative number, reverse the inequality sign.)
  3. Step 3: Compare to the answer options.

    • Analyze the direction of the inequality and the boundary value to identify the correct choice.

If you provide the exact inequality (e.g., x+4<8x + 4 < 8, 2x162x \geq 16), I can solve it explicitly. Could you clarify or upload an image of the problem?

Meanwhile, here’s an example:

Example: Solve 2x572x - 5 \leq 7.

  1. Add 5 to both sides:
    2x122x \leq 12.
  2. Divide by 2:
    x6x \leq 6.

Here, the correct answer would be B.x6B. x \leq 6.


If you'd like details or a specific inequality solved, please let me know!
Here are 5 relative questions expanding this:

  1. How do you solve compound inequalities?
  2. What happens when multiplying an inequality by a negative number?
  3. How does graphing inequalities on a number line work?
  4. How do absolute values affect inequalities?
  5. Can inequalities have no solution or infinite solutions?

Tip: Always check your solution by substituting a test value into the original inequality!

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Linear Equations

Formulas

Basic inequality manipulation (e.g., ax + b < c)
Rule for reversing inequality sign when multiplying/dividing by a negative number

Theorems

Addition Property of Inequalities
Multiplication Property of Inequalities

Suitable Grade Level

Grades 7-10