# What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

Answer: The solution set for x is x≥3.

## Solving Linear Inequalities

To solve the inequality 2(3x – 1) ≥ 4x – 6, first expand and simplify it to get 6x – 2 ≥ 4x – 6. Then, solve for x, which results in x ≥ 3. Understanding and solving linear inequalities is crucial in algebra for representing and solving problems with a range of possible solutions. This concept is essential in various fields, including economics, engineering, and sciences, where conditions are represented by inequalities rather than exact values.

## FAQ on Solving Linear Inequalities

### How do you solve linear inequalities?

Isolate the variable on one side and interpret the inequality symbol.

### What does the solution set of an inequality represent?

The solution set represents all possible values that satisfy the inequality.

### How do you graph the solution set of an inequality?

Graph the corresponding equation, then shade the appropriate region based on the inequality.

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