Find all values that satisfy the inequality 2x+5 =

2x + 5 =< 4(x-1)

We
need to find x values.

We will solve the same way we solve
the equation.

The goal is to isolate x on one
side.

First we will open the brackets on the right
side.

==> 2x + 5 =< 4x
-4

Now we will subtract 4x from both
sides.

==> -2x + 5 =<
-4

Now we will subtract 5 from both
sides.

==> -2x =< -4
-5

==> -2x =<
-9

Now we will divide by -2 and reverse the
inequality.

==> x >=
9/2

Then the values of x that satisfies the inequality
should be equal or greater that
9/2.

==> x belongs to the interval [
9/2, inf).