# Compound Inequalities

**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:**

### Answer Key

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

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