McGraw-Hill Education GRE 2019

SOLUTION: Combine like terms:

−x + 2y > y − 2x

+ 2x + 2x

x + 2y > y

↓

− y − y

x + y > 0

The correct answer is C.

Multiplication and Division with Inequalities

When multiplying or dividing across an inequality, keep in mind the following

rules:

If you multiply or divide across an inequality by a positive value,

the inequality arrow does not change.

If 2x > 6, what is the range for x?

SOLUTION: To isolate x, divide both sides of the inequality by 2.

2 x > 6

x > 3

Note that the sign does not change, since you are dividing by a positive.

If you multiply or divide across an inequality by a negative value,

the inequality arrow flips.

−2x < 6. Solve for x.

SOLUTION: Divide both sides by −2:

−2x < 6

• –2^2 x < –2^6
  x < −3

But remember to flip the sign: x > −3.

You cannot multiply or divide across an inequality by an unknown.

302 PART 4 ■ MATH REVIEW

03-GRE-Test-2018_173-312.indd 302 12/05/17 11:56 am