Cracking The SAT Premium

simplify by doing the same thing to both sides. All you have to remember is that if you multiply or divide
both sides of an inequality by a negative number, the direction of the inequality symbol changes. For
example, here’s a simple inequality:

x   >   y

Now, just as you can with an equation, you can multiply both sides of this inequality by the same number.
But if the number you multiply by is negative, you have to change the direction of the symbol in the result.
For example, if you multiply both sides of the inequality above by –2, you end up with the following:

–2x <   –2y

Remember:   When    you multiply    or  divide  an  inequality  by  a   negative    number, you must    reverse the

inequality  sign.

Here’s an example of how an inequality question may be framed on the test:

8.If    –3x +   6   ≥   18, which   of  the following   must    be  true?

A) x≤   –4

B) x≤   8

C) x    ≥   –4

D) x    ≥   –8

Here’s How to Crack It

Simplify the inequality like any other equation:

–3x +   6   ≥   18

–3x ≥   12

Remember to change the direction of the inequality sign!

x   ≤   –4

So (A) is the correct answer.

A Range of Values

Another skill ETS may test is solving inequalities for a range of values. In these instances, you can
simplify the process by initially treating the inequality as two separate problems.