2x−6≥4and≥2x−6

To solve the inequality 2x - 6 ≥ 4 and also ≥ 2x - 6, we can combine the two inequalities into one.

Starting with 2x - 6 ≥ 4, we can add 6 to both sides of the inequality to isolate the variable:
2x - 6 + 6 ≥ 4 + 6
2x ≥ 10

Dividing both sides of the inequality by 2:
2x/2 ≥ 10/2
x ≥ 5

Now, for the second inequality, 2x - 6 ≥ 2x - 6, we notice that both sides of the inequality are the same. This means that x can take any real value.

Combining the two inequalities, we have:
x ≥ 5 and x can take any real value.

So, the solution to the inequality 2x - 6 ≥ 4 and also ≥ 2x - 6 is x ≥ 5.