Answer:
-1/6
Explanation:
To solve the inequality 4x-(6x+1)≤ 8x + 2(x-3), we can simplify both sides of the inequality and isolate x on one side:
4x - (6x + 1) ≤ 8x + 2(x-3)
4x - 6x - 1 ≤ 8x + 2x - 6
-2x - 1 ≤ 10x - 6
Subtract 10x from both sides:
-12x - 1 ≤ -6
Add 12x to both sides:
-1 ≤ 6x
Divide both sides by 6:
-1/6 ≤ x
The solution to the inequality is x ≥ -1/6. This means that x is greater than or equal to -1/6, so any value of x that is greater than or equal to -1/6 will satisfy the inequality.