Final answer:
The first step to solve the inequality 4x-4 < 24 is to add 4 to both sides, resulting in 4x < 28. After dividing by 4, the solution is x < 7. The graph would show an open circle at 7, with shading to the left.
Step-by-step explanation:
Solving the Inequality 4x−4 < 24
To solve the inequality 4x−4 < 24, the first step is to isolate the variable x. You do this by adding 4 to both sides of the inequality, which gives us 4x < 28. Next, you divide both sides by 4 to solve for x, leading to x < 7.
The solution to the inequality is all real numbers that are less than 7. When graphing this solution on a number line, you would draw an open circle at 7 and shade all the area to the left of 7 to represent all numbers that are less than 7.