Solve -4(3x-1) + 6x ≥ 16 and graph the solution

The graph above represents the solution \( x \leq -2 \). The shaded region to the left of \(-2\) indicates all values that satisfy the inequality, and the closed dot at \(-2\) shows that it is included in the solution.

Would you like further details or have any questions about this problem?

Here are five related questions you might find interesting:
1. How would the solution change if the inequality was \(-4(3x - 1) + 6x > 16\)?
2. What happens if the expression is multiplied by a positive number instead of a negative one?
3. How do we handle inequalities with more than one variable?
4. Can you solve and graph inequalities involving quadratic expressions?
5. How do you solve absolute value inequalities?

**Tip:** Always remember that when multiplying or dividing by a negative number, you must reverse the inequality sign.

Learn how to solve and graph the linear inequality -4(3x-1) + 6x ≥ 16. This problem covers important algebraic concepts such as inequalities, the distributive property, and graphing solutions on a number line. Suitable for students in Grades 7-10.

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