Select Page

# Compound Inequalities

Home | Online Math Tutoring | Algebra1-Tutoring | Compound Inequalities

A compound inequality is an equation with two or more inequalities joined together with either “and” or “or”. For example: x ≤ -3 or x ≥ 2; x ≥ -7 and x ≤ 7

ii) 2(y-1) < 6 Or 2(y-1) > 10

These inequalities are connected with < or > symbol, so the solution will be the union of solutions of these two inequalities.

Dividing both sides by 2,

(y-1) < 3 or (y-1) > 5

Adding 1 to both sides of the inequality, we get

y<4  Or y>6

Interval notation:

### Check Point

Solve the given compound inequalities and write the answer in interval notation:

There is no overlap between the two inequalities, hence there is no solution to the compound inequality.

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

Connect with us
+1-269-763-4602
+1-269-763-5024

Online test prep and practice
SCAT
CogAT
SSAT
ISEE
PSAT
SAT
ACT
AP Exam

Science Tutoring
Physics Tutoring
Chemistry Tutoring
Biology Tutoring

English Tutoring
Writing
Grammar