SAT Subject Test Mathematics Level 1

INEQUALITIES

To solve an inequality, do whatever is necessary to both sides to isolate the
variable. Just remember that when you multiply or divide both sides by a
negative number, you must reverse the sign. To solve –5x + 7 < –3, subtract 7
from both sides to get –5x < –10. Now divide both sides by –5, remembering to
reverse the sign: x > 2.

INEQUALITIES AND ABSOLUTE VALUE

About the most complicated algebraic solving you’ll have to do on the Math 1
test will involve inequalities and absolute value signs. Look at Example 10.

INEQUALITIES AND ABSOLUTE VALUE

Example 10

For all n   >   0,

if  |x| <   n,  then

• n < x < n;
  if |x| > n, then
  x < –n or x > n.