But when you invert both sides of an inequality, you switch the inequality, right?

So we have this inequality.

So that is our inequality.

So the inequality will switch.

So if I'm inverting all of the sides of this inequality, I have to switch the inequality signs.

And remember, when you multiply or divide both sides of an inequality by a negative, you swap the inequality.

So we have this inequality.

You have this inequality right there.

And when you multiply both sides of an inequality by a negative number or divide both sides by a negative number, you swap the inequality.

Universality of presence versus differentiated structures

the system for reconciling disparate parts.

You don't do anything to the inequality

It does not satisfy that inequality.

That won't change the inequality.

Now we're gonna divide both sides of this equation by 13.

And that's one of the distinctions of an inequality.

We're actually injecting contrast into the organ.

Now we can divide both sides of this inequality by 5 and we don't have to swap the inequality because we're dividing by a positive number and so we get z is less than 20 over 5.

It is thus a true reflection of our diverse tendencies.

So this is the interval notation for this compound inequality right there.

No reason to change the inequality just yet.

So the inequality is 2 times x plus 6 is less than or equal to 8x.

Las Vegas, we just solve for I on this inequalty.

And since we divided by a negative number, we swap the inequality.

We can divide both sides of this inequality by 3.

Once again, no reason to change the inequality just yet.

Alright? We could have done this equation in a slightly different way

So the inequality stays the same as in our original problem.

It's only when you multiply by negatives that you swap the inequality.

It's simply that English is not adapted to the demands of intercultural communication.

Now you can see it start. We're injecting the contrast into the organ into this decellularized liver.

So where do you go putting all of these disparate pieces together?

I'm just multiplying both sides of the inequality by the inverse of 5, because this will cancel out with 5 and will leave me just with C. Now I didn't draw the inequality here, because we have to remember if we multiply or divide both sides of an inequality by a negative number, you have to flip the inequality and we are doing that.

Gradually drawing down US troop levels makes more sense, because what unites the disparate elements of the Taliban syndicate is a common opposition to foreign military presence.

And al jebr roughly translates to the system for reconciling disparate parts.

If we pick one of these numbers, it's going to satisfy that inequality.

So let's say we have the inequality 4x plus 3 is less than negative 1.

That doesn't change the inequality as long as we're subtracting the same value.

That is not true. z is equal to negative 9 is not a solution of this inequality right there.

That won't change by adding or subtracting the same thing to both sides of the inequality.

All of these things that I'm shading in green would satisfy the inequality.

If we were multiplying by a negative number, we would have to swap the inequality.

Come on, come on and meet the elements, check out the ones they call the elements.

That original inequality I wrote was completely valid in the first quadrant, but since I want this inequality to be true in the first and fourth quadrants, because I'm taking the limit as x approaches 0 from both sides, I put that absolute value there.

And we exclude negative 2 by drawing an open circle at negative 2, but all the values greater than that are valid x's that would solve, that would satisfy this inequality.