Final answer:
To solve the inequality (2x-4)/(-3) ≤ 10, multiply both sides by -3, eliminate the fraction, and solve for x. The solution is x ≥ -13, which can be written in interval notation as [-13, ∞).
Step-by-step explanation:
To solve the inequality (2x-4)/(-3) ≤ 10, we can start by multiplying both sides of the equation by -3 to get rid of the fraction. However, since we are multiplying by a negative number, the inequality sign will flip. So, we have 2x-4 ≥ -30.
Next, we can add 4 to both sides of the equation to isolate the x term. This gives us 2x ≥ -30 + 4, which simplifies to 2x ≥ -26.
Finally, dividing both sides of the equation by 2 gives us x ≥ -13. This solution can be written in interval notation as [-13, ∞).