Question 1098127
You need 10 minutes for understanding,
not 2 hours for memorizing problem-solving recipes.
Solving equations and solving inequalities is very similar.
 
EQUAtions have an EQUAL sign, and no other sign.
Inequalities have a < or > sign,
and maybe one of those signs could be combined with an equl sign.
Both (equations and inequalities are solved the same way, with just one different detail.
 
FOR EQUATIONS:
To solve for x, you have to "undo" what has been doen to poor x
With the equation 3x+5=11 ,
you see that poor x was first multiplied times 3,
and then 5 was added.
To solve you "undo" what was done in reverse order.
In the morning, you put a sock first, and then a shoe on top of the sock.
Later you undo that in reverse order, taking off the shoe first.
So, to solve {{{3x+5=11}}} , you first undo the adding 5.
If the two sides of the equal sign are equal,
subtracting 5 from both sides leaves the sides equal, so
{{{3x+5-5=11-5}}} , which means {{{3x=6}}}.
You could say that was one step.
Then you undo the multiplication times 3.
If {{{3x=6}}} then dividing both sides of the equal sign by 3,
you find that x equals 6 divided by 3, so {{{x=2}}} .
 
FOR INEQUALITIES:
With {{{3x+5>11}}} , you could do something similar.
The inequality says {{{3x+5}}} is more than {{{11}}} .
If you add or subtract the same thing from both sides,
the bigger side will stay bigger.
So, from {{{3x+5>11}}} , subtracting 5 from both sides,
you get {{{3x>6}}} .
Then, if {{{3x}}} is more than {{{6}}} ,
dividing both sides by 3, the bigger side will stay bigger,
and so you get {{{x>2}}} ,
just like if you cut each pizza in 3 equal pieces,
1/3 of a bigger pizza is more than 1/3 of a smaller pizza.

The only case where inequalities are solved differently from equations
is if you have to multiply or divide by a negative number.
I do not think you will face that difficulty at this time,
but if you multiply or divide both sides of an inequality by a negative number,
you have to flip the < or > sign.
It must be obvious to you that if {{{3>0}}} ,
multiplying both sides times {{{-1}}} you would say {{{-3<0}}} .
So from {{{-x<3}}} you would get {{{x>-3}}} .
 
"Two step inequality equations" is a name that your teacher can use to classify problems into many "types" of problems, associated with many problem solving recipes. That is a ewcipe for failure. You will memorizew the many types and the many recipes, and then will apply them the wrong way.