Final answer:
To solve the inequality 4x - 8 < -2x + 1, you should collect like terms, which leads to 6x < 9 and then x < 1.5. Therefore, the largest integer that satisfies the inequality is 1.
Step-by-step explanation:
To solve the inequality 4x - 8 < -2x + 1, first we need to collect the like terms. Add 2x to both sides of the inequality to get 6x - 8 < 1. Next, add 8 to both sides of the inequality to obtain 6x < 9. Finally, divide both sides of the inequality by 6 to isolate x, resulting in x < 1.5.
To solve the inequality 4x-8 < -2x+1, we need to isolate the variable x. 1. First, we can add 2x to both sides to get 6x - 8 < 1. 2. Next, we can add 8 to both sides to get 6x < 9. 3. Finally, we can divide both sides by 6 to get x < 1.5. So the largest integer value that makes this inequality true is 1.
Since we are looking for the largest integer value that makes the inequality true, we consider the integers less than 1.5. The largest such integer is 1.