# How do you solve #90< -6w#?

##### 1 Answer

#### Explanation:

**Case 1**

If you take two unequal real numbers and multiply both of them by the same positive real number, the relationship between them will be the same - the one that was greater before the multiplication will be greater after.

Here are a few examples:

We conclude with the following rule #1 about transformations of inequalities:

**both sides of inequality can be multiplied by any positive real number without change in a sign of inequality**.

**Case 2**

If you take two unequal real numbers and multiply both of them by the same negative real number, the relationship between them will change to opposite - the one that was greater before the multiplication will be less after.

Here are a few examples:

We conclude with the following rule #2 about transformations of inequalities:

**both sides of inequality can be multiplied by any negative real number, but a sign of inequality should be changed to opposite**.

In the problem at hand

we can multiply both sides of the inequality by a negative number

Since it is customary to place the unknown variable (