4х+5≥6х-2

To solve this inequality, we need to isolate the variable x on one side of the inequality sign. Here's how we can do it:

4x + 5 ≥ 6x - 2

First, let's move all the terms containing x to one side:

4x - 6x ≥ -2 - 5

Simplifying both sides:

-2x ≥ -7

Next, divide both sides by -2. Since we are dividing by a negative number, we need to reverse the inequality sign:

x ≤ (-7) / (-2)

Simplifying:

x ≤ 7/2

So the solution to the inequality is x ≤ 7/2.