Solve:
x - 4 less than or equal to 3x - 8
can u move the 4 and add and then move the 3x to the other side and it become -3x, and then solve?
x-4 <= 3x-8
4 <= 2x
2 <= x
Yes, you can rearrange the inequality to make it easier to solve. Let me guide you through the steps:
1. Start with the original inequality: x - 4 ≤ 3x - 8.
2. To move the -4 to the other side, you need to add 4 to both sides of the inequality:
x - 4 + 4 ≤ 3x - 8 + 4.
Simplifying the left side gives you:
x ≤ 3x - 4.
3. Next, to move the 3x to the other side, you need to subtract 3x from both sides of the inequality:
x - 3x ≤ 3x - 4 - 3x.
Simplifying both sides:
-2x ≤ -4.
4. Finally, divide both sides of the resulting inequality by -2. Remember that when dividing or multiplying by a negative number, the direction of the inequality sign flips:
(-2x) / -2 ≥ (-4) / -2.
Simplifying:
x ≥ 2.
So, the solution to the inequality x - 4 ≤ 3x - 8 is x ≥ 2.